Question

In ΔPQR,QA ⊥ PR , RB ⊥ PQ and QA = RB. Prove that ΔPQR is an
isosceles triangle.​

Answer 1

Answer:

We have,

According to given figure.

PQ=PR(giventhat)

QS=SR(Bydefinationofmidpoint)

PS=PS(Commonline)

Then,

ΔSPQ≅ΔSPR (BY congruency S.S.S.)

Hence, PS bisects ∠PQR by definition of angle bisector.