SSC CGL 2022 PYQ — Question 60

The correct answer is Option 4 i.e. ∜3 : ∜2.

The ratio of areas of two similar triangles = $\sqrt{3} : \sqrt{2}$

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

Using the property of similar triangles, we have

(Ratio of areas of triangles) = (Ratio of sides of the triangles)²

⇒ (Ratio of sides of the triangles) = (Ratio of areas of triangles)^1/2

⇒ (Ratio of sides of the triangles) = ($\sqrt{3} : \sqrt{2}$)^1/2

⇒ (Ratio of sides of the triangles) = ∜3 : ∜2

Hence the ratio of the corresponding sides of the two triangles is ∜3 : ∜2.