The top of a broken tree touches the ground at a distance of $12m$ from its base. If the tree is broken at a height of $5m$ from the ground then the actual height of the tree is:
- A$25m$
- B$13m$
- ✓$18m$
- D$17m$
Answer: C.
View full solution →Question types
Triangles question types
189 questions across 5 question groups — pick any mix to generate a Maths paper with step-by-step answer keys.
189
Questions
5
Question groups
5
Question types
01
M.C.Q. [1 Marks Each]
49 Q→021 Marks Question
81 Q→032 Marks Questions
32 Q→045 Marks Questions
1 Q→053 Marks Question
26 Q→Sample Questions
Triangles questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
In Figure. $PQ = PR, RS = RQ$ and $ST\ ||\ QR$. If the exterior angle $RPU$ is $140^\circ $, then the measure of angle $TSR$ is:
- A$55^\circ $
- ✓$40^\circ $
- C$50^\circ $
- D$45^\circ $
Answer: B.
View full solution →From the following figure, the value of $x$ is:
- A$75^\circ $
- B$90^\circ$
- ✓$120^\circ $
- D$60^\circ$
Answer: C.
View full solution →The perimeter of the rectangle whose length is $60\ cm$ and a diagonal is $61\ cm$ is:
- A$120\ cm$
- B$122\ cm$
- C$71\ cm$
- ✓$142\ cm$
Answer: D.
View full solution →In Figure. $BC = CA$ and $\angle\text{A} = 40$. Then, $\angle\text{ACD}$ is equal to:
- A$40^\circ $
- ✓$80^\circ $
- C$120^\circ $
- D$60^\circ $
Answer: B.
View full solution →In figure. $\triangle\text{PQR}\cong\triangle .........$
$i.$
$ii.$
View full solution →$i.$
$ii.$
In Figure. which pairs of triangles are congruent by $SAS$ congruence criterion (condition)? If congruent, write the congruence of the two triangles in symbolic form.
View full solution →In an isosceles triangle, two angles are always ________.
It is possible to have a triangle in which each angle is equal to $60^\circ .$
View full solution →It is possible to have a triangle in which two angles are acute.
In Figure. if $RP = RQ,$ find the value of $x.$
View full solution →If $\triangle\text{PQR }$ and $\triangle\text{SQR}$ are both isosceles triangle on a common base $QR$ such that $P$ and $S$ lie on the same side of $QR.$ Are triangles $PSQ$ and $PSR$ congruent? Which condition do you use$?$
View full solution →In Figure. which pairs of triangles are congruent by $SAS$ congruence criterion (condition)? If congruent, write the congruence of the two triangles in symbolic form.
View full solution →In given pairs of triangles of Figure. using only $RHS$ congruence criterion, determine which pairs of triangles are congruent. In case of congruence, write the result in symbolic form:
View full solution →In Figure. which pairs of triangles are congruent by $SAS$ congruence criterion (condition)? If congruent, write the congruence of the two triangles in symbolic form.
View full solution →In $\triangle\text{DEF}, \angle\text{D} = 60^\circ , \angle\text{E} = 70^\circ $ and the bisectors of $\angle\text{E}$ and $\angle\text{F}$ meet at $O$. Find $(i) \ \angle\text{F} \ (ii) \ \angle\text{EOF}.$
View full solution →Two poles of $10m$ and $15m$ stand upright on a plane ground. If the distance between the tops is $13m,$ find the distance between their feet.
View full solution →In a right-angled triangle if an angle measures $35^\circ ,$ then find the measure of the third angle.
View full solution →In Figure. if $ST = SU,$ then find the values of $x$ and $y.$
View full solution →In Figure. $\angle1=\angle2$ and $\angle3=\angle4.$
View full solution →- Is $\triangle\text{ADC}\cong\triangle\text{ABC}?$ why$?$
- Show that $AD = AB$ and $CD = CB.$
Points $A$ and $B$ are on the opposite edges of a pond as shown in Figure. To find the distance between the two points, the surveyor makes a right-angled triangle as shown. Find the distance $AB.$
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