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in triangle abc if angle b …

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in triangle abc if angle b = 35° angle c = 65° and the bisector of angle bac meets inp arrange ap bp and cp descending order
  • 1 answers

Gaurav Seth 3 years, 11 months ago

It is given that

∠B = 35°

∠C = 65°

AP is the bisector of ∠CAB

We have to arrange AP, BPand CP in descending order.

In  ΔACP we have

∠ACP = 65°

∠CAP = 40°(As AP is the bisector of ∠CAB

So  AP > CP (Sides in front or greater angle will be greater)              ........(1)

In  ΔABP we have

∠BAP = 40°(As AP is the bisector of ∠CAB)

Since, 

∠BAP >∠ABP

So  BP > AP                ..........(2)

Hence 

From (1) & (2) we have

 BP > AP > CP

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