Question

Two isosceles triangles have equal vertical angles and the ratios of the areas are 16 : 25. find ratio of corresponding heights

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.

Answer 2

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