Question

If the legs of a right triangle are given by x2 - y2 and 2xy, then which expression equals the hypotenuse? choose all that apply. x2 y2 (x2 y2)2 (x2 - y2)2 (2xy)2

Answer 1

Hypothenus = sqrt ((x^2 - y^2)^2 + (2xy)^2) = sqrt(x^4 - 2x^2y^2 + y^4 + 4x^2y^2) = sqrt(x^4 + 2x^2y^2 + y^4) = sqrt(x^2 + y^2)^2 = x^2 + y^2