Consider the incomplete paragraph proof.
given: isosceles right triangle xyz (45°–45°–90° triangle)
prove: in a 45°–45°–90° triangle, the hypotenuse is times the length of each leg.
because triangle xyz is a right triangle, the side lengths must satisfy the pythagorean theorem, a2 + b2 = c2, which in this isosceles triangle becomes a2 + a2 = c2. by combining like terms, 2a2 = c2.
which final step will prove that the length of the hypotenuse, c, is times the length of each leg?