Question

A triangle has side lengths of 6, 8, and 10. Is it a right triangle.

A. No, the sum of the legs is not equal to the hypotenuse.
B. Yes, the sum of the legs is equal to the hypotenuse.
C. No, the sum of the square of the legs is not equal to the square of the hypotenuse.
D. Yes, the sum of the square of the legs is equal to the square of the hypotenuse.
I know its a right angle so it's B or D, but which one.

Answer 1

Answer: D. Yes, the sum of the square of the legs is equal to the square of the hypotenuse.

Explanation:

Pythagorean theorem is a^2 + b^2 = c^2

given side length of 6 and 8 and hypotenuse of 10

6^2 + 8^2 = 10^2

36 + 64 = 100

100 = 100

so yes, the sum of the square of the legs = the square of the hypotenuse.