Question
Given that the perimeters of two similar triangles,
∆ABC and ∆DEF, are 24 cm and 9 cm, respectively, and DE = 3 cm, what is the ratio between the area of ∆ABC and that of ∆DEF?Solution
Perimeter ratio (ABC:DEF) = 24:9 = 8:3 ⇒ Side ratio (ABC:DEF) = 8:3 ⇒ Area ratio = (8:3)² = 64:9
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