Q. 85.0( 1 Vote )

# If and are two triangles such that , then Area (): Area () =

A. 2 : 5

B. 4 : 25

C. 4 : 15

D. 8 : 125

Answer :

Given ΔABC and ΔDEF are two triangles such that

We know that if two triangles are similar then their sides are proportional.

Since , ΔABC and ΔDEF are similar.

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

∴ ar (ΔABC): ar (ΔDEF) = 4: 25

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