Question

Find the exact value of x using the pythagorean theorem.

Do the side lengths for a pythagorean triple?

Answer 1

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`{17}^(2) = {8}^(2) + {x}^(2) \\ 289 = 64 + {x}^(2) \\ 289 - 64 = {x}^(2) \\ {x}^(2) = √(225) \\ x = 25(pythagorean \: tripet)`

Answer 2

Pythagorean theorem, stating that every right triangle has side lengths satisfying the formula a2 + b2 = c2; thus, Pythagorean triples describe the three integer side lengths of a right triangle. However, right triangles with non-integer sides do not form Pythagorean triples.

Explanation: