Ratio of areas of two similar triangles is 9 : 25. _______ is the ratio of their corresponding sides.

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KollegeApply · Accepted Answer

Ratio of areas of two similar triangles is 9 : 25. 3 : 5 is the ratio of their corresponding sides. Explanation: Let ΔABC and ΔPQR be two similar triangles. According to the given condition, (A(ΔABC))/(A(ΔPQR)) = $\frac{9}{25}$ ...(Given) But `(A(ΔABC))/(A(ΔPQR)) = (AB^2)/(PQ^2)` ...(By the theorem of areas of similar triangles) $\therefore$ (AB^2)/(PQ^2) = $\frac{9}{25}$ $\therefore$ (AB)/(PQ) = $\frac{3}{5}$ $\therefore$ 3 : 5 is the ratio of their corresponding sides.

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