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If the lengths of the sides of triangle XYZ are 8 cm, 15 cm, and 17 cm, is it a

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Question: If the lengths of the sides of triangle XYZ are 8 cm, 15 cm, and 17 cm, is it a right triangle?

Options:

  1. Yes
  2. No
  3. It cannot be determined
  4. Only if angle X is 90 degrees

Correct Answer: Yes

Solution:

Yes, because 8^2 + 15^2 = 64 + 225 = 289 = 17^2, satisfying the Pythagorean theorem.

If the lengths of the sides of triangle XYZ are 8 cm, 15 cm, and 17 cm, is it a

Practice Questions

Q1
If the lengths of the sides of triangle XYZ are 8 cm, 15 cm, and 17 cm, is it a right triangle?
  1. Yes
  2. No
  3. It cannot be determined
  4. Only if angle X is 90 degrees

Questions & Step-by-Step Solutions

If the lengths of the sides of triangle XYZ are 8 cm, 15 cm, and 17 cm, is it a right triangle?
  • Pythagorean Theorem – 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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