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Two triangles are similar. If the lengths of the sides of the first triangle are

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

Options:

  1. 6, 8, 10
  2. 9, 12, 15
  3. 12, 16, 20
  4. 15, 20, 25

Correct Answer: 6, 8, 10

Solution:

The ratio of the sides is 6/3 = 2. Therefore, the corresponding sides are 6*2, 4*2, and 5*2, which are 6, 8, and 10 units.

Two triangles are similar. If the lengths of the sides of the first triangle are

Practice Questions

Q1
Two triangles are similar. If the lengths of the sides of the first triangle are 3, 4, and 5 units, what are the lengths of the corresponding sides of the second triangle if the shortest side is 6 units?
  1. 6, 8, 10
  2. 9, 12, 15
  3. 12, 16, 20
  4. 15, 20, 25

Questions & Step-by-Step Solutions

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