Question

P
S
b) In the triangle given alongside, PQ = PR. The bisector of
ZPQR meets PR at S. Prove that ZPSQ = 3 ZPQS.
Q
R​

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.