Question 41

If the areas of two similar triangle are in the ratio 5 : 7, then what is the ratio of the corresponding sides of these two triangles?

Solution

Ratio of areas of two similar triangles is equal to the ratio of square of the corresponding sides.

Let the ratio of corresponding sides = $$\frac{x}{y}$$

=> $$\frac{x^2}{y^2}=\frac{5}{7}$$

=> $$(\frac{x}{y})^2=\frac{5}{7}$$

=> $$\frac{x}{y}=\frac{\sqrt5}{\sqrt7}$$

=> Ans - (C)

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