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In a triangle, if the lengths of two sides are 7 cm and 24 cm, what is the minim

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Question: In a triangle, if the lengths of two sides are 7 cm and 24 cm, what is the minimum possible length of the third side?

Options:

  1. 1 cm
  2. 17 cm
  3. 18 cm
  4. 31 cm

Correct Answer: 17 cm

Solution: 

By the triangle inequality theorem, the length of the third side must be greater than the difference of the other two sides. Therefore, the minimum length = 24 - 7 = 17 cm.

In a triangle, if the lengths of two sides are 7 cm and 24 cm, what is the minim

Practice Questions

Q1
In a triangle, if the lengths of two sides are 7 cm and 24 cm, what is the minimum possible length of the third side?
  1. 1 cm
  2. 17 cm
  3. 18 cm
  4. 31 cm

Questions & Step-by-Step Solutions

In a triangle, if the lengths of two sides are 7 cm and 24 cm, what is the minimum possible length of the third side?
  • Triangle Inequality Theorem – The theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side, and the difference of the lengths of any two sides must be less than the length of the third side.
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