in the given figure . triangle ABC and triangle AMP are two right triangles , right angled at B and M respectively prove that 1) triangle ABC||| triangle AMP 2) CA/PA =BC/MP
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In first part do we have to prove the congruency or similarity?
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Given :- are two right triangles
To prove :- △ABC ~ △ AMP
CA/ PA = BC/MP
Solution:- In △ABC & △AMP
∠AMP = ∠ABC ( Each 90°)
∠A = ∠A ( Common angle in both triangle )
△ABC ~ △ AMP ( by AA similarity criteria)
CA/PA = BC/MP ( Corresponding side of similar triangle are proportional)
Hence PROVED.
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