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In a triangle, if the lengths of the sides are 7 cm, 24 cm, and 25 cm, is it a r

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Question: In a triangle, if the lengths of the sides are 7 cm, 24 cm, and 25 cm, is it a right triangle?

Options:

  1. Yes
  2. No
  3. Cannot be determined
  4. Only if angles are known

Correct Answer: Yes

Solution:

To determine if it is a right triangle, we can use the Pythagorean theorem. Here, 25² = 7² + 24², which simplifies to 625 = 49 + 576, thus 625 = 625. Therefore, it is a right triangle.

In a triangle, if the lengths of the sides are 7 cm, 24 cm, and 25 cm, is it a r

Practice Questions

Q1
In a triangle, if the lengths of the sides are 7 cm, 24 cm, and 25 cm, is it a right triangle?
  1. Yes
  2. No
  3. Cannot be determined
  4. Only if angles are known

Questions & Step-by-Step Solutions

In a triangle, if the lengths of the sides are 7 cm, 24 cm, and 25 cm, is it a right triangle?
  • Pythagorean Theorem – A mathematical principle that states in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
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