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Question

Question 9 (ii)
In the following figure, ABC and AMP are two right triangles, right angled at B and M respectively, prove that:

(ii)CAPA=BCMP

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Solution

(ii) InΔABC and ΔAMP, we have
A=A (common angle)
ABC=AMP=90(Each 90)
ΔABCΔAMP (By AAA similarity criterion)
As, ΔABCAMP ,we know that,
If two triangles are similar then the corresponding sides are equal.
Hence,CAPA=BCMP

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