MCQ 11 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: If $2\text{S}=\frac{(\text{a}+\text{b}+\text{c})}{2}$ where $a,b,c$ are the sides of triangle then area $ =\sqrt{\text{s}(\text{s}-\text{a})(\text{s}-\text{b})(\text{s}-\text{c})}.$
Reason: The sides of triangle are $3\ cm, 4\ cm, 5\ cm$ it’s area is $6cm^2$
- A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- B
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- ✓
Assertion is true but the reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: C. Assertion is true but the reason is false.
Assertion is true but the reason is false.
View full question & answer→MCQ 21 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The perimeter of a right angled triangle is $60\ cm$ and its hypotenuse is $26\ cm.$ The other sides of the triangle are $10\ cm$ and $24\ cm.$ Also, area of the triangle is $120 \mathrm{~cm}^2$.
Reason: $(\text { Base })^2+(\text { Perpendicular })^2=(\text { Hypotenuse })^2$.
- ✓
Both assertion and reason are true and reason is the correct enatixplaon of assertion.
- B
Both assertion and reason are true but reason is not the correct explanation of assertion.
- C
Assertion is true but reason is false.
- D
Assertion is false but reason is true.
AnswerCorrect option: A. Both assertion and reason are true and reason is the correct enatixplaon of assertion.
$a+b+c=60$
$a+b+26=60$
$a+b=34 \ldots(1)$
Now, $26^2+a^2+b^2 \ldots(2)$
Squaring $(1)$ both sides, we get
$(a+b)^2=(34)^2$
$a^2+b^2+2 a b=34 \times 34$
$(26)^2+2 a b=1156[\text { From (2)] }$
$2 a b=1156-676$
$2 a b=480$
$a b=240$
Now, $\mathbf{a}+\frac{240}{\mathrm{a}}=34[$ From $(1)$ and $(3)]$
$a^2-24 a-10 a+240=0$
$a(a-24)-10(a-24)=0$
$a=10,24$
Now, other sides are $10\ cm$ and $24\ cm .$
$\mathrm{s}=\frac{26+10+24}{2}=30 \mathrm{~cm}$
Area of triangle $=\sqrt{30(30-26)(30-10)(30-24)}$
$\sqrt{30 \times 4 \times 20 \times 6}=120 \mathrm{~cm}^2$. View full question & answer→MCQ 31 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The height the triangle is $18cm$ and its area is $72cm^2$ and it’s base is $8cm$.
Reason: $\text{Area of triangle}=\frac{1}{2}\times\text{base}\times\text{height}.$
- ✓
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- B
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- C
Assertion is true but the reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
View full question & answer→MCQ 41 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The side of an equilateral triangle is $6\ cm$ then the area of the triangle is $9cm^2$.
Reason: All the sides of an equilateral triangle are equal.
- A
$A$ is true, $R$ is true; $R$ is a correct explanation for $A.$
- B
$A$ is true, $R$ is true; $R$ is nol a correct explanation for $A.$
- C
$A$ is true; $R$ is false.
- ✓
$A$ is false; $R$ is true.
AnswerCorrect option: D. $A$ is false; $R$ is true.
$A$ is false; $R$ is true.
View full question & answer→MCQ 51 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The area of a triangle 8966.56 whose sides are respectively $150\ cm, 120\ cm$ and $200\ cm$
Reason: Heron’s formula $=\sqrt{\text{s}(\text{s}-\text{a})(\text{s}-\text{b})(\text{s}-\text{c})}$
- ✓
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- B
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- C
Assertion is true but the reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
View full question & answer→MCQ 61 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The area of a triangle is $6 \mathrm{~cm}^2$ whose sides are $3 \mathrm{~cm}, 4 \mathrm{~cm}$ and $5 \mathrm{~cm}$ respectively.
Reason: Area of triangle $= \sqrt{\text{s}(\text{s}-\text{a})(\text{s}-\text{b})(\text{s}-\text{c})}.$
- ✓
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- B
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- C
Assertion is true but the reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
View full question & answer→MCQ 71 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The side of an equilateral triangle is 6cm then the height of the triangle is $9\ cm$
Reason: The height of an equilateral triangle is $\frac{\sqrt3}{2}\text{a}.$
- A
Both assertion and reason are true and reason is the correct enatixplaon of assertion.
- B
Both assertion and reason are true but reason is not the correct explanation of assertion.
- C
Assertion is true but reason is false.
- ✓
Assertion is false but reason is true.
AnswerCorrect option: D. Assertion is false but reason is true.
The height of the triangle,
$\text{h}=\frac{\sqrt3}{2}\text{a}.$
$9=\frac{\sqrt3}{2}\text{a}.$
$\text{a}=\frac{9\times2}{\sqrt3}=\frac{18}{\sqrt3}=\frac{\sqrt3}{\sqrt3}$
$=\frac{18\sqrt3}{3}=6\sqrt3\text{cm}$
View full question & answer→MCQ 81 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The sides of a triangle are in the ratio of $25 : 14 : 12$ and its perimeter is $510m.$ Then the greatest side is $250\ cm$
Reason: Perimeter of a triangle $= a + b + c$, where $a, b, c$ are sides of a triangle.
- A
Both assertion and reason are true and reason is the correct enatixplaon of assertion.
- B
Both assertion and reason are true but reason is not the correct explanation of assertion.
- C
Assertion is true but reason is false.
- ✓
Assertion is false but reason is true.
AnswerCorrect option: D. Assertion is false but reason is true.
$510 = a + b + c$
$510 = 25x + 14x + 12x$
$510 = 51x$
$x = 10$
Three sides of the triangle are,
$25x = 25 × 10 = 250\ cm$
$14x = 14 × 10 = 140\ cm$
and $12x = 12 × 10 = 120\ cm$
View full question & answer→MCQ 91 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The perimeter of triangle is $36\ cm$ and it’s side are in the ratio $a : b : c = 3 : 4 : 5$ then $a = 9\ cm, b = 12\ cm, c = 15\ cm$
Reason: Perimeter of triangle $=$ sum of all side of triangle.
- ✓
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- B
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- C
Assertion is true but the reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
View full question & answer→MCQ 101 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The sides of a triangle are $3\ cm, 4\ cm$ and $5\ cm.$ Its area is $9\sqrt3\text{cm}^2.$
Reason: If $2s = (a + b + c ),$ where $a , b, c$ are the sides of a triangle, then area $= \sqrt{(\text{s}–\text{a})(\text{s}–\text{b})(\text{s}–\text{c})}.$
- A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- B
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- ✓
Assertion is true but the reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: C. Assertion is true but the reason is false.
Assertion is true but the reason is false.
View full question & answer→MCQ 111 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason $(s)\ (R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The height of the triangle is $18\ cm$ and its area is $72\ cm$ then, ils base is $8\ cm$
Reason: Area of a triangle $=\frac{1}{2}\times\text{base}\times\text{height}.$
- ✓
$A$ is true, $R$ is true; $R$ is a correct explanation for $A.$
- B
$A$ is true, $R$ is true; $R$ is not a correct explanation for $A.$
- C
$A$ is true; $R$ is false.
- D
$A$ is false; $R$ is true.
AnswerCorrect option: A. $A$ is true, $R$ is true; $R$ is a correct explanation for $A.$
$A$ is true, $R$ is true; $R$ is a correct explanation for $A.$
View full question & answer→MCQ 121 Mark
Directions: In the following questions, the Assertions $(A$) and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The sides of a triangle are $3\ cm, 4\ cm$ and $5\ cm.$ Its area is $6\ cm.$
Reason: If $2s = (a + b + c),$ where $a, b, c$ are the sides of a triangle, then area $=\sqrt{(\text{s}-\text{a})(\text{s}-\text{b})(\text{s}-\text{c})}.$
- ✓
Both assertion and reason are true and reason is the correct enatixplaon of assertion.
- B
Both assertion and reason are true but reason is not the correct explanation of assertion.
- C
Assertion is true but reason is false.
- D
Assertion is false but reason is true.
AnswerCorrect option: A. Both assertion and reason are true and reason is the correct enatixplaon of assertion.
$\text{s}=\frac{\text{a}+\text{b}+\text{c}}{2}$
$\text{s}=\frac{3+4+5}{2}=6\text{cm}$
Area $=\sqrt{(\text{s}-\text{a})(\text{s}-\text{b})(\text{s}-\text{c})}.$
$=\sqrt{(6)(6-3)(6-4)(6-5)}$
$=\sqrt{(6)(3)(2)(1)}=6\text{cm}^2$
View full question & answer→MCQ 131 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The sides of a triangle are in the ratio of $25 : 14 : 12$ and its perimeter is $510\ cm.$ Then the area of the triangle is $4449.08\ cm^2.$
Reason: Perimeter of a triangle $= a + b + c,$ where $a, b, c $ are sides of $a$ triangle.
- ✓
Both assertion and reason are true and reason is the correct enatixplaon of assertion.
- B
Both assertion and reason are true but reason is not the correct explanation of assertion.
- C
Assertion is true but reason is false.
- D
Assertion is false but reason is true.
AnswerCorrect option: A. Both assertion and reason are true and reason is the correct enatixplaon of assertion.
$510 = a + b + c$
$510 = 25x + 14x + 12x$
$510 = 51x$
$x = 10$
Three sides of the triangle are,
$25x = 25 × 10 = 250\ cm$
$14x = 14 × 10 = 140\ cm$
and $12x = 12 × 10 = 120\ cm$
$\text{s}=\frac{250+140+120}{2}=255\text{cm}$
Area $=\sqrt{255\times5\times115\times135}$
$=4449.08\text{cm}^2$
View full question & answer→MCQ 141 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The side of an equilateral triangle is $6\ cm$ then the area of the triangle is $9\ cm^2.$
Reason: All the sides of an equilateral triangle are equal.
- A
Both assertion and reason are true and reason is the correct enatixplaon of assertion.
- B
Both assertion and reason are true but reason is not the correct explanation of assertion.
- C
Assertion is true but reason is false.
- ✓
Assertion is false but reason is true.
AnswerCorrect option: D. Assertion is false but reason is true.
$\text{s}=\frac{6+6+6}{2}=\frac{18}{2}=9\text{cm}$
Area $=\sqrt{9(9-6)(9-6)(9-6)}$
$=\sqrt{9\times3\times3\times3}=9\sqrt3\text{cm}^2$
View full question & answer→MCQ 151 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The sides of a triangle are in the atio of $25 : 14 : 12$ and its perimeter is $510\ cm.$ Then the area of the triangle is $4449.08\ cm^2.$
Reason: Perimeter of a triangle $= a + b + c,$ where $a, b, c$ are sides of a triangle.
- ✓
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- B
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- C
Assertion is true but the reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
View full question & answer→MCQ 161 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The height of equilateral triangle is $\sqrt{\frac{3}{2\text{a}}}.$
Reason: The side of equilateral triangle is 6cm then the height of triangle is $9\ cm$
- A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- B
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- ✓
Assertion is true but the reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: C. Assertion is true but the reason is false.
Assertion is true but the reason is false.
View full question & answer→MCQ 171 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: Area of triangle $= \sqrt{\text{s}(\text{s}-{a})(\text{s}-\text{b})(\text{s}-\text{c})}.$
Reason: $ \text{s}=\frac{(\text{a}+\text{b}+\text{c})}{2}$
- ✓
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- B
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- C
Assertion is true but the reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
View full question & answer→MCQ 181 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: perimeter of triangle $=\frac{(\text{a}+\text{b}+\text{c})}{2}$
Reason: If the sides of the triangle are $30m, 24m$ and $22m$ then it’s perimeter is $76m.$
- ✓
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- B
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- C
Assertion is true but the reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
View full question & answer→MCQ 191 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason $(s)(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: Semi $- $perimeter of an equilateral triangle having area $4\sqrt3\ \text{cm}^2$ is $16\ cm.$
Reason: $\text{s}=\frac{\text{a}+\text{b}+\text{c}}{2}$ where s is semi $- $ perimeter and $a, b$ and $c$ are sides of triangle.
- A
$A$ is true, $R$ is true; $R$ is a correct explanation for $A.$
- B
$A$ is true, $R$ is true; $R$ is nol a correct explanation for $A.$
- C
$A$ is true; $R$ is false.
- ✓
$A$ is false; $R$ is true.
AnswerCorrect option: D. $A$ is false; $R$ is true.
$A$ is false; $R$ is true.
View full question & answer→MCQ 201 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The side of equilateral triangle is 6 cm then the area of triangle is $9\sqrt3\text{cm}^2.$
Reason: All the side of equilateral triangle are equal.
- ✓
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- B
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- C
Assertion is true but the reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
View full question & answer→MCQ 211 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: Area of rhombus whose side is $20\ cm$ and one diagonal is $24\ cm$ is $38 \mathrm{~cm}^2$.
Reason: All sides of rhombus are equal.
- ✓
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- B
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- C
Assertion is true but the reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
View full question & answer→MCQ 221 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The area of an equilateral triangle having each side $4\ cm$ is $4\sqrt{3\text{cm}^2}$
Reason: Area of an equilateral triangle $ = \Big(\sqrt{\frac{3}{4}}\Big)\times\text{a}^2$
- ✓
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- B
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- C
Assertion is true but the reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
View full question & answer→MCQ 231 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The height of the triangle is $18\ cm$ and its area is $72cm^2$. Its base is $8\ cm$
Reason: Area of a triangle $=\frac{1}{2}\times\text{base}\times\text{height}.$
- ✓
Both assertion and reason are true and reason is the correct enatixplaon of assertion.
- B
Both assertion and reason are true but reason is not the correct explanation of assertion.
- C
Assertion is true but reason is false.
- D
Assertion is false but reason is true.
AnswerCorrect option: A. Both assertion and reason are true and reason is the correct enatixplaon of assertion.
Area of $\triangle=\frac{1}{2}\times\text{base}\times\text{height}.$
$72=\frac{1}{2}\times18\times\text{b}$
$\text{b}=\frac{72\times2}{18}=8\text{cm}.$
View full question & answer→MCQ 241 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The right angled triangle if hypotenus is $5\sqrt2\text{cm}$ then other two side equal to $5\ cm$ each.
Reason: In right angled triangle $\mathrm{base^2+ perpendicular^2= hypotenus^2}$.
- ✓
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- B
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- C
Assertion is true but the reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
View full question & answer→MCQ 251 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The side of an equilateral triangle is $20\ cm$ then the height is $ 20\sqrt\frac{3}{3\text{cm}}.$
Reason: The height of an equilateral triangle is $\sqrt\frac{3}{2\text{a}}.$
- ✓
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- B
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- C
Assertion is true but the reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
View full question & answer→MCQ 261 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: Semi perimeter of a equilateral triangle is $s = 3 \frac{\text{a}}{2},$ where, $a,$ are side of triangle.
Reason: If the area of an equilateral triangle is $81\sqrt3\text{cm}2,$ then the semi perimeter of triangle is $20\ cm$
- A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- B
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- ✓
Assertion is true but the reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: C. Assertion is true but the reason is false.
Assertion is true but the reason is false.
View full question & answer→MCQ 271 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: If the area of an equilateral triangle is $81\sqrt3\text{cm}^2,$ then the semi perimeter of triangle is $20.$
Reason: Semi perimeter of a triangle is $\text{s}=\frac{(\text{a}+\text{b}+\text{c})}{2},$ where $a, b, c$ are sides of triangle.
- A
Both assertion and reason are true and reason is the correct enatixplaon of assertion.
- B
Both assertion and reason are true but reason is not the correct explanation of assertion.
- C
Assertion is true but reason is false.
- ✓
Assertion is false but reason is true.
AnswerCorrect option: D. Assertion is false but reason is true.
Area of an equilateral triangle $=\frac{\sqrt3}{4}\text{a}^2,$
where a is side of triangle $81\sqrt3=\frac{\sqrt3}{4}\text{a}^2,$
$81\times4=\text{a}^2$
$324=\text{a}^2$
$\text{a}=18\text{cm}$
$\text{s}=\frac{18+18+18}{2}=27\text{cm}$
View full question & answer→MCQ 281 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The sides of a triangle are in the ratio of $25 : 14 : 12$ and its perimeter is $510m.$ Then the greatest side is $250\ cm.$
Reason: Perimeter of a triangle $= a + b + c,$ where $a, b, c$ are sides of a triangle.
- ✓
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- B
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- C
Assertion is true but the reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
View full question & answer→Question 291 Mark
Answer - A is true, R is true; R is nol a correct explanation for A.
View full question & answer→