in traibngle pqr the bisector of angle p is perpendicular to side qr show that pqr id an isocles
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Step-by-step explanation:
PL is the bisector of ∠QPR⇒∠1=∠2
PL⊥QR⇒∠PLQ=∠PLR=90
o
Now in △PQL and △PRL
∠1=∠2 [Given]
PL [Common side]
∠PLQ=∠PLR=90
o
∴ By As A, PQL △PRL
∴∠Q=∠R[C.P.C.T]
⇒PQ=PR
⇒△PQR is isosceles
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