Two similar triangles have areas in the ratio of 9:25. What is the ratio of their corresponding altitudes?
Show answer & explanation
Correct answer: A
Explanation
Given:
The ratio of the areas of two similar triangles = 9 : 25
In similar triangles, the ratio of areas = (ratio of corresponding sides / heights)²
The ratio of corresponding heights = √(9/25) = 3/5 = 3 : 5