## College Algebra (10th Edition)

The triangle is a right triangle with a hypotenuse of $10$ units.
A right triangle has three sides that satisfy the equation $c^2=a^2+b^2$ where $c$ is the longest side (hypotenuse) and $a$ and $b$ are the two other sides. Substitute the given lengths of sides to the equation above to obtain: $c^2=a^2+b^2 \\10^2=6^2+8^2 \\100=36+64 \\100=100$ The triangle's side lengths satisfy the equation; therefore the triangle is a right triangle with a hypotenuse of $10$ units.