If the areas of two similar triangles are in the ratio 121 : 225, what would be the ratio of the corresponding sides?

Correct option is B

Given:

Ratio of areas of two similar triangles = 121 : 225

Concept Used:

If two triangles are similar, the ratio of their areas is equal to the square of the ratio of their corresponding sides.

Solution:

Let the areas of the two similar triangles be A1 and A2, and their corresponding sides be $$s_1$$​and $$s_2.$$​

We are given: A1 : A2 = 121 : 225

According to the property of similar triangles:$$\left(\frac{s_1}{s_2}\right)^2 = \frac{A_1}{A_2}$$ = $$\frac {121}{225}$$​​

​$$\frac{s_1}{s_2}$$ = $$\sqrt{\frac {121}{225}} =\frac {11}{15}$$​​

The ratio of the corresponding sides is 11 : 15.