Question

The ratio of the areas of two similar triangles is equal to the ratio of the------ their corresponding sides.

• A. Cube of
• B. Square of
• C. Square root of
• D. Twice of

Hint:

For similar triangles, the ratio of their areas is the square of the ratio of their corresponding sides.

Answer 1

The Correct Option is B

For two similar triangles, the ratio of their areas is equal to the square of the ratio of their corresponding sides. If the ratio of the corresponding sides of the two similar triangles is \( \frac{a}{b} \), then the ratio of their areas is: \[ \frac{\text{Area of first triangle}}{\text{Area of second triangle}} = \left( \frac{a}{b} \right)^2 \] Thus, the ratio of the areas is equal to the square of the ratio of the corresponding sides.