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If two triangles are similar and the length of a side in the first triangle is 6

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Question: If two triangles are similar and the length of a side in the first triangle is 6 cm while the corresponding side in the second triangle is 9 cm, what is the scale factor from the first triangle to the second?

Options:

  1. 2:3
  2. 3:2
  3. 1:1.5
  4. 1.5:1

Correct Answer: 2:3

Solution:

The scale factor is the ratio of the lengths of corresponding sides. Therefore, the scale factor is 6:9, which simplifies to 2:3.

If two triangles are similar and the length of a side in the first triangle is 6

Practice Questions

Q1
If two triangles are similar and the length of a side in the first triangle is 6 cm while the corresponding side in the second triangle is 9 cm, what is the scale factor from the first triangle to the second?
  1. 2:3
  2. 3:2
  3. 1:1.5
  4. 1.5:1

Questions & Step-by-Step Solutions

If two triangles are similar and the length of a side in the first triangle is 6 cm while the corresponding side in the second triangle is 9 cm, what is the scale factor from the first triangle to the second?
  • Similar Triangles – Triangles that have the same shape but may differ in size, with corresponding sides in proportion.
  • Scale Factor – The ratio of the lengths of corresponding sides of similar figures.
  • Simplifying Ratios – The process of reducing a ratio to its simplest form.
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