Question

In a triangle ABC, AB=AC and PR×CQ=AC². Prove that triangle BPA~triangle CQA​

Answer 1

Step-by-step explanation:

Given,

AB=AC

PB×CQ=AC2(As there is no mark as PR in the figure i considered it to be PB)

PB×CQ=AC×AC

PB×CQ=AB×AC

1/2 of (PB×CQ) = 1/2 of(AB×AC)

PB=AC

CQ=AC

IN TRIANGLE ABC:

AB=AC(given)

PB=AC(proved above)

CQ=AC(proved above)

therefore,

BPA~CQA(by SSS congruency)

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Answer 2

This is long answer question

Belonging to board examination