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If triangle STU is similar to triangle VWX, and ST = 5 cm, TU = 10 cm, and VW =

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Question: If triangle STU is similar to triangle VWX, and ST = 5 cm, TU = 10 cm, and VW = 15 cm, what is the length of side WX?

Options:

  1. 10 cm
  2. 20 cm
  3. 25 cm
  4. 30 cm

Correct Answer: 20 cm

Solution: 

Since the triangles are similar, the ratio of corresponding sides is constant. Therefore, WX = (TU / ST) * VW = (10 / 5) * 15 = 2 * 15 = 30 cm.

If triangle STU is similar to triangle VWX, and ST = 5 cm, TU = 10 cm, and VW =

Practice Questions

Q1
If triangle STU is similar to triangle VWX, and ST = 5 cm, TU = 10 cm, and VW = 15 cm, what is the length of side WX?
  1. 10 cm
  2. 20 cm
  3. 25 cm
  4. 30 cm

Questions & Step-by-Step Solutions

If triangle STU is similar to triangle VWX, and ST = 5 cm, TU = 10 cm, and VW = 15 cm, what is the length of side WX?
  • Similarity of Triangles – Understanding that similar triangles have proportional sides.
  • Proportional Relationships – Using ratios to find unknown side lengths in similar figures.
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