Areas of two similar triangles are 36 cm² and 100 cm². If the length of a side of the larger triangle is 20 cm. Find the length of the corresponding side of the smaller triangle.

Question

Areas of two similar triangles are 36 cm 2 and 100 cm 2 . If the length of a side of the larger triangle is 20 cm. Find the length of the corresponding side of the smaller triangle.

Philoid · Accepted Answer

Given,

Area of smaller triangle = 36 cm²

Area of larger triangle = 100 cm²

Also, length of a side of the larger triangle = 20 cm

Let length of the corresponding side of the smaller triangle = x cm

By property of area of similar triangle.

∴ x = √144 = 12 cm

Hence, the length of corresponding side of the smaller triangle is 12 cm.

Areas of two similar triangles are 36 cm2 and 100 cm2. If the length of a side of the larger triangle is 20 cm. Find the length of the corresponding side of the smaller triangle.

Areas of two similar triangles are 36 cm² and 100 cm². If the length of a side of the larger triangle is 20 cm. Find the length of the corresponding side of the smaller triangle.