Question

Ratio of areas of two similar triangles is 9 : 25. _______ is the ratio of their corresponding sides.

Options

• 3 : 4

• 3 : 5

• 5 : 3

• 25 : 81

Answer 1

3: 5

Let ΔABC and ΔPQR be two similar triangles.  

According to the given condition,

`"A(ΔABC)"/"A(ΔPQR)" = 9/25`      ...(Given)

But `"A(ΔABC)"/"A(ΔPQR)" = "AB"^2/"PQ"^2` ...(By the theorem of areas of similar triangles)

∴ `"AB"^2/"PQ"^2 = 9/25`

∴ `"AB"/"PQ" = 3/5`

∴ 3: 5 is the ratio of their corresponding sides.