Consider the incomplete paragraph proof. Given: Isosceles right triangle XYZ (45°-45°-90°
triangle)
Prove: In a 4545°-90° triangle, the hypotenuse is V2
times the length of each leg.
Because triangle XYZ is a right triangle, the side lengths
must satisfy the Pythagorean theorem, a + b=c?
which in this isosceles triangle becomes a + a= c. By
combining like terms, 2a = c'.
Which final step will prove that the length of the
hypotenuse, c, is 2 times the length of each leg?
O Substitute values for a and c into the original
Pythagorean theorem equation.
O Divide both sides of the equation by two, then
determine the principal square root of both sides of the
uation.
Determine the principal square root of both sides of
the equation.
O
O Divide both sides of the equation by 2.