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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 longer side?

Options:

  1. 30
  2. 40
  3. 35
  4. 45

Correct Answer: 40

Solution: 

Let the sides be 3x and 4x. Then, 3x + 4x = 70, 7x = 70, x = 10. Longer side = 4x = 4*10 = 40.

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 longer side?
  1. 30
  2. 40
  3. 35
  4. 45

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 longer 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 – Using algebra to solve for unknown variables in equations derived from geometric relationships.
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