Asked by Anonymous

"Triangle DEF is similar to triangle ABC, and the length of side DE is 6 cm. The length of side AB is 2 cm. If the area of triangle ABC is 5 square cm, what is the area of triangle DEF?
Answered by Reiny
the ratio of areas of two similar shapes is proportional to the square of their corresponding sides

so area DEF/5 = 6^2 / 2^2 = 36/4 = 9/1
area DEF = 45
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