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A triangle has sides with lengths 8, 15, and 17.

Is this a Pythagorean Triple? (yes/no)

With a ratio comparing 8/15, that acute angle should measure between and degrees but closer to degrees.

A triangle has sides with lengths 8, 15, and 17. Is this a Pythagorean Triple? (yes-example-1

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Answer:

Yes, the triangle with sides 8, 15, and 17 is a Pythagorean triple. This is because 8^2 + 15^2 = 64 + 225 = 289 = 17^2. As for the acute angle between sides 8 and 15, we can use the inverse tangent function to find it. tan(theta) = 8/15 theta = arctan(8/15) Using a calculator, we find that theta ≈ 28.07 degrees. Since we know this is an acute angle, we can conclude that it measures between 0 and 90 degrees, and is closer to 28 degrees than to 62 degrees.

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