## College Algebra (10th Edition)

RECALL: If the sides of a triangle satisfies $c^2=a^2+b^2$ (from the Pythagorean Theorem) where c is the hypotenuse (the longest side) and a and b are the two other sides, then the triangle is a right triangle. Substitute the given side-lengths with c = 10 to obtain: $10^2 = 6^2+8^2 \\100=36 + 64 \\100=100$ Thus, the triangle whose sides are 6, 8, and 10 is a right triangle. Therefore, the given statement is true.