ΔАВС ~ ΔDEF and their perimeters are 32 cm and 24 cm respectively. If AB = 10 cm then DE = ?

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KollegeApply · Accepted Answer

7.5 cm Explanation: For similar triangles, the ratio of corresponding sides equals the ratio of their perimeters. Here the scale factor = $\frac{24}{32}$ = $\frac{3}{4}$. So, DE = $\frac{3}{4}$ xx AB = $\frac{3}{4}$ xx 10 = 7.5 cm

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