pr is an altitude of an isosceles triangle pqr where PQ = pr. prove that p bisects QR.
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☞Given :-
- PQ= PR
☞to find :-
- p bisects QR
☞SoLution :-
ln ∆PQS & ∆PSR
→PQ = PR. [ given]
→PS = PS. [ common]
→ PSQ = PSR. [right angle]
by SAS criteria....
∆PQS ≈ ∆ PRS
QPS = RPS [ by cpct]
hence, angle p bisects QR
☞ Note :-
refer the attachment
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