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Question : If the areas of two isosceles triangles with equal corresponding angles are in the ratio of $x^2:y^2$, then the ratio of their corresponding heights is:

Option 1: $x: y$

Option 2: $\sqrt{x}: \sqrt{y}$

Option 3: $x^3: y^3$

Option 4: $x^2: y^2$


Team Careers360 5th Jan, 2024
Answer (1)
Team Careers360 10th Jan, 2024

Correct Answer: $x: y$


Solution : The area of a triangle is directly proportional to the square of its height.
Given,
Ratio of areas = $x^2 : y^2$
$\therefore$ The ratio of their heights = $x:y$
Hence, the correct answer is $x:y$.

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