Question

STD 10

maths

If the ratio of areas of two similar triangles is 9 : 4, then the ratio of its corresponding sides is .

(a) 9 : 4 (b) 4 : 9 (c) 3 : 2 (d) 81 : 16

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Answer 1

The answer is c

Explanation:

If the area of the two triangles are similar, then Area of ∆ 1 : Area of ∆ 2 =

(Side of ∆ 1)² : (Side of ∆ 2)²

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Since the area of each triangle is equal to the corresponding side squared.

Area of ∆ = (Side of ∆)² →

√(Area of ∆) = Side of ∆ →

Side of ∆ = √(Area of ∆).

Therefore:

9 : 4 → √9 : √4 = 3 : 2