Question

A triangle has side lengths of 6,

8, and 10. Is it a right triangle?
Explain

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 square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

In this case, the side lengths are 6, 8, and 10. We can check if this satisfies the Pythagorean theorem by squaring each side length and comparing the results:

6^2 + 8^2 = 36 + 64 = 100
10^2 = 100

Since 6^2 + 8^2 = 10^2, the triangle with side lengths of 6, 8, and 10 satisfies the Pythagorean theorem and is therefore a right triangle.