Question

Two isosceles triangles have equal angles and their areas are in the ratio 16:25,then the ratio of their corresponding heights is__________.

Answer 1

Solution:-

The ratio of areas of two similar triangles is equal to the ratio of the squares
of their corresponding heights.

So, ratio of areas of two similar triangles = ratio of the ratio of the squares of their corresponding heights = 16 : 25

So, ratio of the squares of their corresponding heights = √(16/25)
= 4/5
= 4 : 5

Hence the ratio of corresponding heights is 4 : 5.

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Answer 2

hey mate !!!

answer :-

the corresponding heights are √16 / 25

= 4 : 5

hope it helps !