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Quadrilateral

Given ∠P = 70...

Question

Given ∠P = 70^o and ∠Q = 115^o. Which of the following part is required to construct triangle PQR?

A

∠R

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B

QR

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C

PQ

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D

RP

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Solution

The correct option is C PQ
When two angles in a triangle are given, then the triangle can be constructed if the side in between these two angles is given.

So, for constructing the triangle PQR in which ∠P and ∠Q are given, the side in between these angles i.e. PQ is to be given.

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Similar questions

Given ∠P = 70^o and ∠Q = 115^o. Which of the following part is required to construct triangle PQR?

△

P Q R

∠

70^{o}

∠ R = 70^{o}

P Q + Q R + R P

= 10

P Q R

, an exterior angle at

A

160^{o}

∠

Q = 70^{o}

. Which is the longest side of the triangle?

△ P Q R

∠ P = 30^{\circ}, ∠ Q = 60^{\circ}

P Q = 10 c m

If following are the steps of construction, then which of the following is not a part of construction?

Steps of Construction:

(i) Draw a line segment

P Q = 10 c m

P

, draw a ray making an angle of

30^{\circ}

Q

, draw another ray making an angle of

60^{\circ}

which intersects the first ray at

R

△ P Q R

is the required triangle.

Q. In the given figure, in order to prove

△ A B C \sim △ P Q R

by SAS property, which of the following condition is required?
Given:

∠ B = ∠ Q

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