Question

In triangle PQR, if LR > LQ then______
a. QR > PR
b. PQ > PR
C. PQ < PR
d. QR < PR​

Answer 1

Answer:

B is correct

Step-by-step explanation:

Given: In ΔPQR,

∠R >∠Q ⇒ PQ > PR

(side opposite to greater angle is greater)

Hence, B is correct.

Answer 2

Given :  In triangle PQR, if ∠R > ∠Q  

To Find : Correct option  

a. QR > PR

b. PQ > PR

C. PQ < PR

d. QR < PR​

Solution:

Sides opposite to Equal angles in a triangle are equal.

If two angles in a triangle do not have equal measure, the longer of their two opposite sides lies opposite to the larger angle.

∠R > ∠Q  

∠R  is  larger angle

Side opposite to  ∠R    is PQ

Side opposite to  ∠Q    is PR

Side opposite to ∠R  is longer than Side opposite to  ∠Q  as ∠R  is  larger angle

Hence PQ  is longer than PR

PQ > PR

Correct option is b)  b. PQ > PR

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