If the areas of two isosceles triangles are in the ratio of $x^2: y^2$, then the ratio of their corresponding heights is:
Answer & explanation
Correct answer: option 1
Concept Used
Area of 1st triangle : Area of 2nd triangle = \( {Height\; of\; 1st\; triangle }^{2 } \) : \( {Height\; of\; 2nd\; triangle }^{2 } \)
Calculation
⇒ \( {x}^{2 } \) : \( {y }^{2 } \) = \( {Height\; of\; 1st\; triangle }^{2 } \) : \( {Height\; of\; 2nd\; triangle }^{2 } \)
⇒ x : y = Height of 1st triangle : Height of 2nd triangle
Therefore, the answer is x : y