Question

in triangle PQR the bisector of angle P is perpendicular to side QR show that triangle PRQ is a isosceles​

Answer 1

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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.

Verified!

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