Multiple choice

The area of two similar Triangle are 9 cm² and 16 cm². Find the ratio of their corresponding sides. A. 3:4 B. 4:3 C. 2:3 D. 4:5 E.Can not be determined

  1. A

  2. B

  3. C

  4. D

  5. E
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A Correct answer
Explanation

For similar triangles, the ratio of their areas is the square of the ratio of their corresponding sides. Area ratio = 9:16, so side ratio = sqrt(9):sqrt(16) = 3:4.

AI explanation

By the property of similar triangles, the ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides. Taking the square root of the given areas, the side ratio is the square root of 9 to the square root of 16. This yields a ratio of 3 to 4.

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