Question

Triangle pqr is an isosceles triangle with pq=pr. If ps bisect exterior angle apr and sr ll pq . prove that ps is parallel to qr.



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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.

Answer 2

answer is in above picture

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