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

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

Options:

  1. 30
  2. 28
  3. 32
  4. 35

Correct Answer: 30

Solution: 

Let the sides be 3x and 4x. Then, 3x + 4x + base = 70. Assuming base = 0, 7x = 70, x = 10. Longer side = 4x = 40.

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

Practice Questions

Q1
The ratio of the lengths of two sides of a triangle is 3:4. If the perimeter of the triangle is 70 cm, what is the length of the longer side?
  1. 30
  2. 28
  3. 32
  4. 35

Questions & Step-by-Step Solutions

The ratio of the lengths of two sides of a triangle is 3:4. If the perimeter of the triangle is 70 cm, what is the length of the longer side?
  • Ratio and Proportion – Understanding how to express the lengths of sides in terms of a variable based on their ratio.
  • Perimeter of a Triangle – Applying the concept of perimeter to find the lengths of the sides of a triangle.
  • Algebraic Manipulation – Solving equations to find the value of a variable.
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