Question

If the ratio of corresponding sides of two similar triangles is 2:3, then the ratio of areas of these triangles is:

• A. 2 : 3
• B. \(\sqrt{2} : \sqrt{3}\)
• C. 4 : 9
• D. 16 : 81

Hint:

The ratio of the areas of two similar triangles is the square of the ratio of their corresponding sides.

Answer 1

The Correct Option is C

For two similar triangles, the ratio of their areas is the square of the ratio of their corresponding sides. Since the ratio of corresponding sides is \(2:3\), the ratio of their areas is: \[ \left( \frac{2}{3} \right)^2 = \frac{4}{9} \] Thus, the correct answer is option (3).