Question
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A triangle has side lengths of 6, 8, and 10. Is it a right triangle? Explain.
(2 points)
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A triangle has side lengths of 6, 8, and 10. Is it a right triangle? Explain.
(2 points)
BoldItalicUnderline
Answers
GPT 3.5
Yes, the triangle with side lengths of 6, 8, and 10 is a right triangle. This can be determined by using the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides.
In this case, 10 is the longest side (hypotenuse), and by squaring the other two sides (6^2 + 8^2 = 36 + 64 = 100) we get the same value as squaring the hypotenuse (10^2 = 100).
Therefore, the triangle with side lengths of 6, 8, and 10 satisfies the conditions to be a right triangle.
In this case, 10 is the longest side (hypotenuse), and by squaring the other two sides (6^2 + 8^2 = 36 + 64 = 100) we get the same value as squaring the hypotenuse (10^2 = 100).
Therefore, the triangle with side lengths of 6, 8, and 10 satisfies the conditions to be a right triangle.