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The ratio of the lengths of two sides of a triangle is 3:4. If the perimeter is

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Question: The ratio of the lengths of two sides of a triangle is 3:4. If the perimeter is 70 cm, what is the length of the shorter side?

Options:

  1. 30
  2. 20
  3. 25
  4. 15

Correct Answer: 20

Solution: 

Let the sides be 3x and 4x. Then, 3x + 4x = 70, 7x = 70, x = 10. Shorter side = 3x = 3*10 = 30.

The ratio of the lengths of two sides of a triangle is 3:4. If the perimeter is

Practice Questions

Q1
The ratio of the lengths of two sides of a triangle is 3:4. If the perimeter is 70 cm, what is the length of the shorter side?
  1. 30
  2. 20
  3. 25
  4. 15

Questions & Step-by-Step Solutions

The ratio of the lengths of two sides of a triangle is 3:4. If the perimeter is 70 cm, what is the length of the shorter side?
  • Ratio and Proportion – Understanding how to express relationships between quantities using ratios and how to use them to find unknown values.
  • Perimeter of a Triangle – Applying the concept of perimeter to relate the lengths of the sides of a triangle.
  • Algebraic Manipulation – Solving equations to find the value of a variable based on given conditions.
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