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Question

If ΔABCΔPQR and PQAB=52 then area (ΔABC): area (ΔPQR)=?

A
25:4
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B
4:25
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C
5:2
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D
25:2
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Solution

The correct option is A 4:25
Given that, ΔABCΔPQR

Also, PQAB=52

To find out: Ratio of the areas of the two triangles.

We know that, if triangles are similar, then the ratio of their areas is equal to the square of the ratio of their sides.

area(ABC)area(PQR)=(ABPQ)2

=(25)2[ PQAB=52ABPQ=25].

=425

Hence, the required ratio is 4:25.

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