Question

PQR is an isosceles triangle with sides PQ=PR.PM is the median on the side QR.Prove that: (i) PMQ ≅ PMR (ii) ∠QPM =∠RPM.​

Answer 1

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.