Question

ΔABC ~ ΔDEF. If BC = 3 cm, EF = 4 cm and ar (ΔABC ) = 54 cm², then ar (ΔDEF) =
A. 108 cm²
B. 96 cm²
C. 48 cm²
D. 100 cm²

Answer 1

Answer:

Given:

ΔABC ~ ΔDEF.

BC = 3 cm

EF = 4 cm

ar(ΔABC) = 54 cm ²

We need to find ar(ΔDEF).

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

By the property of similar triangles, we have

Hence, the ar(ΔDEF) = 96 cm².

Therefore, the correct answer is (b).

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