Question

PQR is a triangle, Pq =pr. PS is angled bisector of angle p then show that PS bisects qr​

Answer 1

given- PQR is a ∆ where PQ=PR where PS is angle bisector of angle P

to prove - PS bisects QR i.e QS=SR

proof- in∆PSQ and ∆PSR

PQ=PR (given)

<QPS=<SPR (PS is angle bisector)

PS=PS (common)

hence both the triangles are congruent by SAS criteria

hence QS=SR (by c.p.c.t)

prooved

Answer 2

your answer is in the attachment hope it helps