Question

Triangle pqr is an isosceles triangle in which pq = pr.Ois a point such that qo = ro.Prove that po bisect angle qpr

Answer 1

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Answer 2

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