Question

ABC and DEF are two similar triangles such that BC = 4 cm., EF = 5 cm., and area of ∆ABC = 64 cm². Find the area of ∆DEF.

Answer 1

Area of triangle DEF = 100 sq. cm.

Step-by-step explanation:

Given, triangle ABC is similar to triangle DEF.

BC = 4 cm and EF = 5cm

Area of triangle ABC = 64 sq. cm

We know that the ratio of the areas of two similar triangles is equal to the ratio of the squares of their corresponding sides.

So area of ABC / area of DEF = square of BC / square of EF

64 / x = 16 / 25

X = 25 * 64 / 16 = 100

Area of triangle DEF = 100 sq. cm.

Answer 2

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