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: $x^2: y^2$
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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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