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In a triangle, if the lengths of two sides are 5 cm and 12 cm, what is the maxim

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Question: In a triangle, if the lengths of two sides are 5 cm and 12 cm, what is the maximum possible length of the third side?

Options:

  1. 16 cm
  2. 17 cm
  3. 18 cm
  4. 19 cm

Correct Answer: 17 cm

Solution: 

By the triangle inequality theorem, the maximum length of the third side is less than the sum of the other two sides: 5 + 12 = 17 cm.

In a triangle, if the lengths of two sides are 5 cm and 12 cm, what is the maxim

Practice Questions

Q1
In a triangle, if the lengths of two sides are 5 cm and 12 cm, what is the maximum possible length of the third side?
  1. 16 cm
  2. 17 cm
  3. 18 cm
  4. 19 cm

Questions & Step-by-Step Solutions

In a triangle, if the lengths of two sides are 5 cm and 12 cm, what is the maximum 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.
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