Question 123179
Hypotenuse: z
leg: x and y

First of all, since the hypotenuse of the right triangle is 12 cm, then the other two sides should be less than. Second, since one of the side of the triangle is 2 cm longer than the other leg, then one can conclude that the length of the two sides are as follow: y = a + 2 and x = a. Plug the value of x, y, and z in {{{z^2=x^2+y^3}}}. Simplify.
When you plug them in and simplify, you should get 2a^2 + 4a - 140 = 0. The next step is either plug it in the quadratic formula or factor. Regardless of what method you get, you should end up with a=SQRT(71)-1 and -SQRT(71)+1). Since it is a side of a triangle, disregard the negative sign in front of SQRT(71) + 1.

Solution:
a=SQRT(71)-1
a=SQRT(71)+1