How do you use the Pythagorean Theorem to determine if the following three numbers could represent the measures of the sides of a right triangle: $\sqrt{7}, 8, 9$ $sqrt7, 8, 9$ ?

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Answer 1 · 2015-05-22T14:55:00

Since ${(\sqrt{7})}^{2} + 8^{2}$ $(sqrt(7))^2 +8^2$

$= 7 + 64 = 71$ $= 7 + 64 = 71$

$\neq 9^{2}$ $!=9^2$

$\sqrt{7}, 8, and 9$ $sqrt(7), 8, " and " 9$ could not be the sides of a right-angled triangle.

How do you use the Pythagorean Theorem to determine if the following three numbers could represent the measures of the sides of a right triangle: sqrt7, 8, 9√7,8,9 sqrt7, 8, 9?