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The ratio of the lengths of two sides of a triangle is 3:4. If the longer side i

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Question: The ratio of the lengths of two sides of a triangle is 3:4. If the longer side is 32 cm, what is the length of the shorter side?

Options:

  1. 24
  2. 20
  3. 30
  4. 28

Correct Answer: 24

Solution: 

Let the shorter side be 3x and the longer side be 4x. Given 4x = 32, x = 8. Therefore, the shorter side = 3x = 3*8 = 24.

The ratio of the lengths of two sides of a triangle is 3:4. If the longer side i

Practice Questions

Q1
The ratio of the lengths of two sides of a triangle is 3:4. If the longer side is 32 cm, what is the length of the shorter side?
  1. 24
  2. 20
  3. 30
  4. 28

Questions & Step-by-Step Solutions

The ratio of the lengths of two sides of a triangle is 3:4. If the longer side is 32 cm, what is the length of the shorter side?
  • Ratio and Proportion – Understanding how to set up and solve problems involving ratios, particularly in the context of geometric figures like triangles.
  • Algebraic Manipulation – Applying algebra to solve for unknowns in equations derived from the problem statement.
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