the measures of the legs of a right triangle can be represented by the expressions 6x(squared)y and 9x(squared)y. use the pythagorean theorem to find a simplified expression for the measure of the hypotenuse.

h^2=a^2+b^2.

h^2=(6x^2y)^2+(9x^2y)^2.

h^2=36x^4y^2+81x^4y^2.

h^2=117x^4y^2.

h=sqrt(117x^4y^2).

=3 √13 x^2y