Question

Areas of two similar triangles are in the ratio 9:25. The perimeters of these triangles are in the ratio.
1 point
Can't be determined
3: 5
9: 25

Answer 1

Answer: 3:5

Explanation:

Given that,

Ratio of area of two similar triangles = 9/25

We know,

√(Ratio of area of two similar triangles) = Ratio of any two corresponding sides = Ratio of perimeter of the similar ∆s.

Now,

Ratio of sides = √(Ratio of area)

=> x/x′ = √(9/25) = √(3/5)² = 3/5

(If one pair of sides are x and x′.)

∴ The perimeters of these triangles are in ratio of 3:5.

More:

√(Ratio of area of two similar ∆) = Ratio of perimeter of the ∆s = Ratio of sides of the ∆s = Ratio of medians.