47:30
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?
