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Two triangles are similar. If the sides of the first triangle are 3 cm, 4 cm, an

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Question: Two triangles are similar. If the sides of the first triangle are 3 cm, 4 cm, and 5 cm, what are the corresponding sides of the second triangle if the shortest side is 6 cm?

Options:

  1. 8 cm, 10 cm, 12 cm
  2. 9 cm, 12 cm, 15 cm
  3. 6 cm, 8 cm, 10 cm
  4. 12 cm, 16 cm, 20 cm

Correct Answer: 8 cm, 10 cm, 12 cm

Solution: 

The ratio of similarity is 6/3 = 2. Therefore, the sides are 3*2 = 6 cm, 4*2 = 8 cm, 5*2 = 10 cm.

Two triangles are similar. If the sides of the first triangle are 3 cm, 4 cm, an

Practice Questions

Q1
Two triangles are similar. If the sides of the first triangle are 3 cm, 4 cm, and 5 cm, what are the corresponding sides of the second triangle if the shortest side is 6 cm?
  1. 8 cm, 10 cm, 12 cm
  2. 9 cm, 12 cm, 15 cm
  3. 6 cm, 8 cm, 10 cm
  4. 12 cm, 16 cm, 20 cm

Questions & Step-by-Step Solutions

Two triangles are similar. If the sides of the first triangle are 3 cm, 4 cm, and 5 cm, what are the corresponding sides of the second triangle if the shortest side is 6 cm?
  • Similarity of Triangles – Understanding that similar triangles have proportional sides and that the ratio of corresponding sides is constant.
  • Proportional Relationships – Applying the concept of ratios to find the lengths of corresponding sides in similar triangles.
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