Question: Consider the incomplete paragraph proof. Because triangle XYZ is a right triangle, the side lengths Given: Isosceles right triangle XYZ (45- 45- 90 must satisfy

Consider the incomplete paragraph proof. Because triangle XYZ is a right triangle, the side lengths Given: Isosceles right triangle XYZ (45- 45- 90 must satisfy the Pythagorean theorem, a2 + b2 = c?, triangle) which in this isosceles triangle becomes a2 + a? = c2. By combining like terms, 2a2 = c2. Prove: In a 45-459-90" triangle, the hypotenuse is v 2 times the length of each leg. Which final step will prove that the length of the hypotenuse, c, is v2 times the length of each leg? a Substitute values for a and c into the original Pythagorean theorem equation. a Divide both sides of the equation by two, then determine the principal square root of both sides of the equation. Z Determine the principal square root of both sides of the equation. O Divide both sides of the equation by 2

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