Question

The ratio of corresponding sides of similar triangles is 5:7, then
what is the ratio of their areas?

With steps

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Answer 1

Answer:

Ratio of areas of similar triangles=square of their corresponding sides. So,the answer will be 5×5/7×7=25/49.

Answer 2

by theorem (I don't know the no.), that says

the ratio of areas of two similar triangles is equal to the ratio of the sides of those triangles.

now let the triangles be ABC and PQR

so,

$\frac{ar(abc)}{ar(pqr)} = \frac{ab}{pq} = \frac{bc}{qr} = \frac{ac}{pr} = \frac{5}{7} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: (given)$

hence , answered.

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