Question

The area of two similar triangles are 36 cm² and 100 cm². If the length of a side of the smaller triangle in 3 cm, find the length of the corresponding side of the larger triangle.

Answer 1

Since the ratio of areas of two similar triangles is equal to the ratio of the squares of any two corresponding sides.

(Corresponding side of larger triangle)² =

(Corresponding side of larger triangle)² =

(Corresponding side of larger triangle)² = 25

⇒ Corresponding side of larger triangle = 5

Hence, the length of the corresponding side of the larger triangle is