## Elementary Geometry for College Students (7th Edition)

Using Pythagorean's Theorem... $a^{2}+b^{2}=c^{2}$ Substitute in known lengths... $15^{2}+8^{2}=17^{2}$ Simplify... $225+64=289$ $289=289$ Since the leg lengths (squared) equals the hypotenuse (squared) then the triangle is a right triangle.