Question

in the figure below , ΔPQR is an isosceles triangle in which ( PQ ) = ( PR ) . PS is the bisector of angle P . show that ΔPQS = triangle PRS​

Answer 1

Here is the required answer :

Given : PQ=PR , PS is bisector of <P

To Prove : Triangle PQS = Triangle PRS

Proof : In Triangle PQS and Triangle PRS,

PQ = PR (Given)

<QPS = <RPS (PS is bisector)

PS = PS (Common)

So, Triangle PQS = Triangle PRS

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