The lengths of three sides of a triangle are $20 \mathrm{~cm}, 16 \mathrm{~cm}$ and 12 cm . The area of the triangle is:
- ✓$96 \mathrm{~cm}^2$
- B$120 \mathrm{~cm}^2$
- C$144 \mathrm{~cm}^2$
- D$160 \mathrm{~cm}^2$
Answer: A.
View full solution →Question types
Areas of Triangles and Quadrilaterals question types
60 questions across 5 question groups — pick any mix to generate a Maths paper with step-by-step answer keys.
60
Questions
5
Question groups
5
Question types
01
M.C.Q
16 Q→022 Marks Questions
2 Q→033 Marks Question
8 Q→045 Marks Questions
24 Q→054 Marks Questions
10 Q→Sample Questions
Areas of Triangles and Quadrilaterals questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
In a $\triangle\text{ABC,}$ it is given that base $= 12\ cm$ and height $= 5\ cm.$ Its area is:
- A$60 \mathrm{\sim cm}^2$
- ✓$30 \mathrm{\sim cm}^2$
- C$15 \sqrt{3} \mathrm{\sim cm}^2$
- D$45 \mathrm{\sim cm}^2$
Answer: B.
View full solution →Each sides of an equilateral triangle measures 8cm. The area of the triangle is:
- A$8\sqrt{3}\text{cm}^2$
- ✓$16\sqrt{3}\text{cm}^2$
- C$32\sqrt{3}\text{cm}^2$
- D$48\text{cm}^2$
Answer: B.
View full solution →The base of an isoscale triangle is $8\ cm$ long and each of its equal sides measures $6\ cm.$ The area of the triangle is:
- A$16\sqrt{5}\text{cm}^2$
- ✓$8\sqrt{5}\text{cm}^2$
- C$16\sqrt{3}\text{cm}^2$
- D$8\sqrt{3}\text{cm}^2$
Answer: B.
View full solution →Each side an equilateral triangle is 10cm long. The height of the triangle is:
- A$10\sqrt{3}\text{cm}$
- ✓$5\sqrt{3}\text{cm}$
- C$10\sqrt{2}\text{cm}$
- D$5\text{cm}$
Answer: B.
View full solution →Find the area of the triangle whose base measures $24\ cm$ and the corresponding height measures $14.5\ cm.$
View full solution →A parallelogram and a square have the same area. If the sides of the square measure $40\ m$ and altitude of the parallelogram measures $25\ m$, find the length of the corresponding base of the parallelogram.
View full solution →Find the area of a rhombus one side of which measures $20\ cm$ and one of whose diagonals is $24\ cm.$
View full solution →If the area of an equilateral triangle is $36\sqrt{3}\text{cm}^2,$ find its perimeter.
View full solution →The area of a trapezium is $475 cm^2$ and its height is $19 cm$ . Find the lengths of its parallel sides if one side is $4 cm$ greater than the other.
View full solution →Find the area of an isoscale triangle each of whose equal sides measures $13\ cm$ and whose measures $20\ cm.$
View full solution →The difference between the lengths of the parallel sides of a trapezium is $8\ cm$, the perpendicular distance between these sides is $24\ cm$ and the area of the trapezium is $312\ cm^2$. Find the length of each of the parallel sides.
View full solution →Find the area of the shaded region in the figure given below..
Find the area of a triangular whose sides are $91\ m, 98\ m$ and $105\ m$ in length. Find the height corresponding to the longest side.
View full solution →Find the area of the triangle whose sides are $42\ cm, 34\ cm$ and $20\ cm$ in length. Hence, find the height corresponding to the longest side.
View full solution →Calculate the area of the triangle whose sides are $18\ cm, 34\ cm, 24\ cm$ and $30\ cm$ in length. Also, find the length of the altitude corresponding to the smallest side.
View full solution →A rectangular lawn, $75\ m$ by $60\ m$, has two roads, each road 4m wide, running through the middle of the lawn, one parallel to length and the other parallel to breadth, as shown in the figure. Find the cost of gravelling the rosds at ₹ $50$ per $m^2.$
View full solution →Each side of an equilateral triangle measures $8\ cm$. Find:
$i.$The area of the triangle, correct to $2$ places of decimal.
$ii.$ The height of the triangle, correct to $2$ places of decimal.
$\big(\text{Take}\sqrt{3}=1.732\big)$
View full solution →$i.$The area of the triangle, correct to $2$ places of decimal.
$ii.$ The height of the triangle, correct to $2$ places of decimal.
$\big(\text{Take}\sqrt{3}=1.732\big)$
Find the area of a parallelogram $ABCD$ in which $AB = 28\ cm, BC = 26\ cm$ and diagonal $AC = 30\ cm$.
View full solution →If the area of an equilateral triangle is $81\sqrt{3}\text{cm}^2,$ find its height.
View full solution →Find the area of a parallelogram $ABCD$ in which $AB = 14\ cm, BC = 10\ cm$ and $AC = 16\ cm$. $\big(\text{Given},\sqrt{3}=1.73\big)$
View full solution →The sides of a triangle are in the ratio $5 : 12 : 13$ and its perimeter is $150\ m$. Find the area of the triangle.
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