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In triangle JKL, if JK = 6 cm, KL = 8 cm, and JL = 10 cm, is triangle JKL a righ

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Question: In triangle JKL, if JK = 6 cm, KL = 8 cm, and JL = 10 cm, is triangle JKL a right triangle?

Options:

  1. Yes
  2. No
  3. Cannot be determined
  4. Only if angle K is 90 degrees

Correct Answer: Yes

Solution:

By the Pythagorean theorem, if JK^2 + KL^2 = JL^2, then it is a right triangle. 6^2 + 8^2 = 36 + 64 = 100 = 10^2.

In triangle JKL, if JK = 6 cm, KL = 8 cm, and JL = 10 cm, is triangle JKL a righ

Practice Questions

Q1
In triangle JKL, if JK = 6 cm, KL = 8 cm, and JL = 10 cm, is triangle JKL a right triangle?
  1. Yes
  2. No
  3. Cannot be determined
  4. Only if angle K is 90 degrees

Questions & Step-by-Step Solutions

In triangle JKL, if JK = 6 cm, KL = 8 cm, and JL = 10 cm, is triangle JKL a right triangle?
  • Pythagorean Theorem – A mathematical principle stating that 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.
  • Triangle Inequality Theorem – A principle that states 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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