Answer :

The triangle with sides 22 inches, 44 inches, and 51 inches is not a right triangle, as the sum of the squares of the two shorter sides does not equal the square of the longest side as required by the Pythagorean theorem.

To determine if a triangle with sides of lengths 22 inches, 44 inches, and 51 inches is a right triangle, we can employ the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. According to the given lengths, if this triangle were right-angled, the square of the longest side (51 inches) should equal the sum of the squares of the other two sides (22 and 44 inches).

Calculating the squares:

  • 22 inches: 222 = 484
  • 44 inches: 442 = 1936
  • 51 inches: 512 = 2601

Adding the squares of the shorter sides: 484 + 1936 = 2420

Since the sum of the squares of the shorter sides (2420) does not equal the square of the longest side (2601), we can conclude that this triangle is not a right triangle. Therefore, the answer to the question is False.

Thanks for taking the time to read A triangle has sides with lengths of 22 inches 44 inches and 51 inches Is it a right triangle a True b False. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada

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