Corresponding sides of two similar triangles are in the ratio of 2:3. If the area of the smaller triangle is 48 cm², then find the area of the larger triangle.

Question

Corresponding sides of two similar triangles are in the ratio of 2:3. If the area of the smaller triangle is 48 cm 2 , then find the area of the larger triangle.

Philoid · Accepted Answer

Given.

Ratio of corresponding sides of two similar triangles = 2:3 or

Area of smaller triangle = 48 cm²

By the property of area of two similar triangle,

Ratio of area of both triangles = (Ratio of their corresponding sides)²

⇒ area (larger triangle) =

⇒ area (larger triangle) = 12 × 9 = 108 cm²

So, the area of the larger triangle = 108 cm²

Corresponding sides of two similar triangles are in the ratio of 2:3. If the area of the smaller triangle is 48 cm2, then find the area of the larger triangle.

Corresponding sides of two similar triangles are in the ratio of 2:3. If the area of the smaller triangle is 48 cm², then find the area of the larger triangle.