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2 answers:
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Answer:
The first set: 8, 15, and 17.
Step-by-step explanation:
<h3>Pair: 8, 15, 17</h3>By the pythagorean theorem, a triangle is a right triangle if and only if
.
In this case,
.
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In other words, indeed . Hence, 8, 15, 17 does form a right triangle.
Similarly, check the other pairs. Keep in mind that the square of the longest side should be equal to the sum of the square of the two
<h3>Pair: 10, 15, 20</h3>Factor out the common factor to simplify the calculations.
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Hence, by the pythagorean theorem, these three sides don't form a right triangle.
<h3>Pair: 12, 18, 22</h3>.
.
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Hence, by the pythagorean theorem, these three sides don't form a right triangle.
<h3>Pair: 7, 9, 11</h3>.
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Hence, by the pythagorean theorem, these three sides don't form a right triangle.