addysonbeale addysonbeale
  • 22-02-2022
  • Mathematics
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A triangle has sides with lengths of 8 feet, 15 feet, and 17 feet. Is it a right triangle?

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4336294
4336294 4336294
  • 22-02-2022

Answer:

Step-by-step explanation:

To test if this is a right triangle, let's test these side lengths with the Pythagorean Theorem.

a^2 + b^2 = c^2

c is the hypotenuse, the longest side of a right triangle.

a and b are the legs of the right triangle.

a = 7

b = 15

c = 17

7^2 + 15^2 = 17^2 ?

49 + 225 = 289 ?

274 ≠ 289

Thus, this triangle is not a right triangle since it does not satisfy the Pythagorean Theorem.

have a good day :)

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