Question

The perimeters of two similar triangles are 22 cm and 33 cm, respectively. If one side of the first triangle is 9 cm, then find the length of the corresponding side of the second triangle.

Answer 1

Given that two triangles are similar.

The ratio of corresponding sides is equal to the ratio of perimeters.

`P_1/P_2 = S_1/2`

Let x be side of second triangle.

`22/33 = 9/x`

`2/3 = 9/x`

2x = 27

x = `27/2`

x = 13.5 cm

The length of the corresponding side of the second triangle is 13.5 cm.