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Maharashtra State BoardSSC (English Medium) 10th Standard

If ΔABC ∼ ΔPQR and A(ΔABC)A(ΔPQR)=1625, then find AB : PQ. - Geometry Mathematics 2

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Question

If ΔABC ∼ ΔPQR and `(A(ΔABC))/(A(ΔPQR)) = 16/25`, then find AB : PQ.

Sum
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Solution

`(A(ΔABC))/(A(ΔPQR)) = (AB^2)/(PQ^2)`

`16/25 = (AB^2)/(PQ^2)`

`(AB)/(PQ) = sqrt(16/25)`

`(AB)/(PQ) = 4/5`

∴ AB : PQ = 4 : 5

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