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

Question

Philoid · Accepted Answer

Given: Let the smaller triangle be ∆ ABC and the larger triangle be ∆ DEF.

The ratio of AB and DE = 2 : 3

……….(i)

ar (∆ ABC) = 48 cm²

To find: ar (∆ DEF)

∵ The ratios of the areas of two similar triangles are equal to the ratio of squares of any two corresponding sides.

∴ We have

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

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