ΔABC ~ ΔDEF such that ar (ΔABC) = 64 cm 2 and ar(ΔDEF) = 169 cm 2 . If BC = 4 cm, find EF.

Question

Philoid · Accepted Answer

Given: ∆ ABC ∼ ∆ DEF

ar (∆ ABC) = 64 cm², ar (∆ DEF) = 169 cm²

BC = 4 cm

To find: EF

∵ The ratios of the areas of two similar triangles are equal to the ratio of squares of any two corresponding sides.

∴ We have

ΔABC ~ ΔDEF such that ar (ΔABC) = 64 cm2 and ar(ΔDEF) = 169 cm2. If BC = 4 cm, find EF.