The areas of two similar triangles are 169 cm² and 121 cm² respectively. If the longest side of the larger triangle is 26 cm, find the longest side of the smaller triangle.

Question

The areas of two similar triangles are 169 cm 2 and 121 cm 2 respectively. If the longest side of the larger triangle is 26 cm, find the longest side of the smaller triangle.

Philoid · Accepted Answer

Let the two triangles be ABC and PQR and their longest sides are BC and QR.

We know that if two triangles are similar then the ratio of their areas is equal to the ratio of the squares of their longest sides.

The areas of two similar triangles are 169 cm2 and 121 cm2 respectively. If the longest side of the larger triangle is 26 cm, find the longest side of the smaller triangle.

The areas of two similar triangles are 169 cm² and 121 cm² respectively. If the longest side of the larger triangle is 26 cm, find the longest side of the smaller triangle.