Multiple choice

The perimeters of two similar triangles ABC and PQR are 75 cm and 50 cm, respectively. If the length of one side of the triangle PQR is 20 cm, then what is the length of corresponding side of the triangle ABC?

  1. 25 cm

  2. 30 cm

  3. 40 cm

  4. 45 cm
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B Correct answer
Explanation

For similar triangles, the ratio of perimeters equals the ratio of corresponding sides. 75 / 50 = x / 20. Solving for x: x = (75 * 20) / 50 = 30.

AI explanation

The ratio of the corresponding sides of two similar triangles is equal to the ratio of their perimeters. We set up the proportion Side of ABC / 20 = 75 / 50. Solving this gives Side of ABC = 20 * 1.5, which equals 30 cm. The length of the corresponding side of triangle ABC is 30 cm.

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