Question

if areas of two similar triangles are in the ratio 25 ratio 64 find the ratio of their corresponding sides

Answer 1

Here is your solution

Ratio of the areas of two similar triangles = square of the ratio of their corresponding sides

25/64 = square of corresponding sides

Ratio of the corresponding sides

= square root of 25/64

=5/8

Therefore, ratio of their sides is 5:8

hope it helps you

Answer 2

Suppose the tr be ABC and PQR

So,

Ar of tr ABC\ Ar of tr PQR

The ratio is ;

25:64

Ar of tr ABC\Ar of tr PQR

25\64

As we know that,( ar of tr abc\ar of tr pqr)²

Ab\pq it means √25\√64

The ans is 5:8

Hope it will help you