Multiple choice

The perimeters of two similar triangles ABC and PQR are 36cm and 48cm respectively. If PQ =12cm, then AB=

  1. 16cm

  2. 20cm

  3. 25cm

  4. 9cm
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D Correct answer
Explanation

For similar triangles, the ratio of perimeters equals the ratio of corresponding sides. 36/48 = AB/PQ => 3/4 = AB/12 => AB = 9.

AI explanation

Because the triangles are similar, the ratio of their corresponding sides equals the ratio of their perimeters. This gives the proportion AB / 12 = 36 / 48. Solving this yields AB = 9 cm.

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