Math, asked by fahad1881, 1 day ago

PQ is the bisector of ∟LPK and PK=PL. Are the triangles PKQ and PLQ equal? Prove
that QK=QL.

Answers

Answered by VanditaNegi
0

Given :-

  • PQ is the angle is the angle bisector of LPK
  • PK = PL

To prove :-

  • QK = QL

Solution :-

→ In ∆ PLQ & ∆PKQ

  1. PK = PL [given]
  2. angle LPQ = angle KPQ [ Since PQ is the angle bisector]
  3. PQ = PQ [common in both ∆s]

So, ∆PLQ congruent to ∆PKQ (BY SAS congruency)

ans 1. = YES THEY ARE EQUAL !

=> QK = QL (BY CPCT)

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HOPE IT HELPS YOU ! ✨

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