# CBSE Class 10 Answered

Perimeters of two similar triangles ABC and PQR are in the ratio 4 : 5. If the sum of their areas is 164 cm^{2}, find the area of each triangle.

Asked by Topperlearning User | 03 Oct, 2017, 01:30: PM

Expert Answer

Since triangles ABC and PQR are similar ,

_{}

So according to question .

Let a side of triangle ABC be 4y and that of PQR is 5y.

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

Let the area of triangle ABC is S and that of triangle PQR is S’.

Answered by | 03 Oct, 2017, 03:30: PM

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