Question

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0. P is any point in interior of AABC. Which of the following are true statement
(a) BP + PC > BC (b) AP + PC < AC
(c) AP + AB > BP​

Answer 1

Answer:

If P is an interior point of the triangle ABC, then prove that AC+BC>AP+BP?

Shuchi Saxena

Answered 2 years ago

Hello Mate!

Given : ABC is a triangle where p is interior point.

To prove : AC+BC>AP+BP

Proof : In triangle ABC

angle A > angle PAB [ Whole is greater than a part ] ____(1)

angle B > angle PBA [ Whole is greater than a part ] _____(2)

On adding (1) and (2) we get

angle A + angle B > angle PAB + angle PBA

BC + AC > PB + AP [ Side opp. to respective angles ]

Or

AC + BC > AP + PB

Q.ED

Have great future ahead!