Question

The ratio of the areas of two similar triangles is \(121:64\). The ratio of their corresponding medians is:

• A. \(11:8\)
• B. \(8:11\)
• C. \(121:64\)
• D. \(12:91\)

Hint:

Area ratio \(=\) (linear scale factor)\(^2\). Take square roots to switch to lengths.

Answer 1

The Correct Option is A

In similar figures, any corresponding lengths are in the ratio of the square root of the area ratio: \(\sqrt{121/64}=11/8\).