Multiple choice

Two triangles are similar but not congruent and the lengths of the sides of the first are 6cm, 11cm and 12cm. The ratio of corresponding sides of first and second triangle is 1:2 What is the perimeter of the second triangle:

  1. 29cm

  2. 53cm

  3. 58cm

  4. 56cm
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C Correct answer
Explanation

The perimeter of the first triangle is 6 + 11 + 12 = 29cm. Since the ratio of sides is 1:2, the ratio of perimeters is also 1:2. Therefore, the perimeter of the second triangle is 29 * 2 = 58cm.

AI explanation

Using the given side ratio of 1:2, each side of the second triangle is twice the length of the first triangle, making its sides 12 cm, 22 cm, and 24 cm. Adding these corresponding sides together gives a perimeter of 12 + 22 + 24 = 58 cm.

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