PQ is the bisector of ∟LPK and PK=PL. Are the triangles PKQ and PLQ equal? Prove
that QK=QL.
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Given :-
- PQ is the angle is the angle bisector of LPK
- PK = PL
To prove :-
- QK = QL
Solution :-
→ In ∆ PLQ & ∆PKQ
- PK = PL [given]
- angle LPQ = angle KPQ [ Since PQ is the angle bisector]
- PQ = PQ [common in both ∆s]
So, ∆PLQ congruent to ∆PKQ (BY SAS congruency)
ans 1. = YES THEY ARE EQUAL !
=> QK = QL (BY CPCT)
HOPE IT HELPS YOU ! ✨
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