Two similar triangles have areas in the ratio of 9:25. What is the ratio of their corresponding altitudes?
Answer
The correct answer is C: 3 : 5. For similar triangles, the ratio of areas equals the square of the ratio of corresponding lengths. So ratio of altitudes = √(9/25) = 3/5, i.e., 3:5.
A.81 : 625
B.3 : 25
C.3 : 5✓ Correct
D.9 : 25
Explanation
For similar triangles, the ratio of areas equals the square of the ratio of corresponding lengths. So ratio of altitudes = √(9/25) = 3/5, i.e., 3:5.
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