Question

Triangle ABC has side lengths 7, 24, and 25. Do the side lengths form a Pythagorean triple? Please explain it to me.

Answer 1

The sides form a Pythagorean triple if they satisfy the Pythagorean theorem, which is\[a^2 + b^2 = c^2\]In your case, a = 7, b = 24, c = 25.\[7^2 + 24^2 = 25^2\]\[49 + 576 = 625\]\[625 = 625\]It satisfies the Pythagorean theorem, and so the side lengths are a triple.

Answer 2

7^2 = 49, 25^2 = 625, 24^2 = 576
Since 576 + 49 = 625
a^2 + b^2 = c^2
Yes, it's right triangle!

Answer 3

Thank you so much, I was having so much trouble before, thank you for explaining.