Question

If the ratio of corresponding sides of two similar triangles is \(2:7\), then the ratio of the areas of the triangles is _____.

• A. \(\sqrt{2} : \sqrt{7}\)
• B. \(2 : 7\)
• C. \(7 : 2\)
• D. \(4 : 49\)

Hint:

For similar figures:
• Side ratio \(= k\)
• Area ratio \(= k^2\)
• Volume ratio \(= k^3\) Always remember the powers according to dimensions.

Answer 1

The Correct Option is D