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∘(Each90∘) ∴ΔABC∼ΔAMP (By AAA similarity criterion) As, ΔABC∼AMP ,we know that, If two triangles are similar then the corresponding sides are equal. Hence,CAPA=BCMP