Question

2 isosceles triangle have equal Vertical angle and their areas are in the ratio of 16:25 find the ratio of their corresponding Heishto

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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