Question

Two isosceles triangles have equal vertical angles and their areas are in the ratio 36 : 25.. Find the ratio of their corresponding heights.

Answer 1

6:5 is the ratio of the height

Answer 2

Ratio of their corresponding heights = 6 : 5

Step-by-step explanation:

ΔABC and ΔPQR are two isosceles triangles such that ∠A = ∠P.

We find that ΔABC ~ ΔPQR.

AD and PS are the heights of the triangles.

For similar triangles, we know that:

Area of ΔABC / area of ΔPQR = AD²/PS²

36/25 = AD²/PS²

So AD/PS = root of (36/25) = 6/5

Ratio of their corresponding heights = 6 : 5