Multiple choice

The ratio of one of the corresponding sides of the two similar triangles is 4:5. If the area of the first triangle is 96 cm2. Find the area of the second triangle.

  1. 120 cm2

  2. 150 cm2

  3. 100 cm2

  4. 48 cm2
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B Correct answer
Explanation

For similar triangles, the ratio of areas equals the square of the ratio of corresponding sides. Given side ratio = 4:5, area ratio = 4²:5² = 16:25. If first triangle area = 96 cm², then second triangle area = 96 × (25/16) = 6 × 25 = 150 cm².

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