ΔАВС ~ ΔDEF and the perimeters of ΔABC and ΔDEF are 30 cm and 18 cm respectively. If BC = 9 cm then EF = ?

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KollegeApply · Accepted Answer

5.4 cm Explanation: For similar triangles the ratio of corresponding sides equals the ratio of their perimeters. So, (EF)/(BC) = $\frac{18}{30}$ = $\frac{3}{5}$ Hence, EF = 9 xx $\frac{3}{5}$ = $\frac{27}{5}$ = 5.4 cm

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