Question

Note: Your teacher will grade your response to this question to ensure you receive proper credit for your answer.

A triangle has side lengths of 6, 8, and 10. Is it a right triangle? Explain.
(2 points)

Answer 1

[AI-generated answer — Bot GPT 3.5]

Yes, the triangle with side lengths of 6, 8, and 10 is a right triangle. This can be determined using the Pythagorean Theorem, which states that in a right triangle, the sum of the squares of the two shorter sides is equal to the square of the longest side (a^2 + b^2 = c^2).

In this case, the side lengths are 6, 8, and 10. By plugging these values into the Pythagorean Theorem, we get:
6^2 + 8^2 = 10^2
36 + 64 = 100
100 = 100

Since the equation holds true, the triangle with side lengths of 6, 8, and 10 satisfies the conditions of the Pythagorean Theorem and is therefore a right triangle.