Use the formulas a = x 2 – y 2, b = 2xy, c = x 2 + y 2 to answer this question. one leg of a right triangle has length 11 and all sides are whole numbers. find the lengths of the other two sides.
the other leg = a0 and the hypotenuse = a1

Let the legs of the right triangle be a and b and the hypothenus be c, then by the pythagoras theorem


Given that


Let a = 11, then


By trial and error, we can find that the value of x = 6 and the value of y = 5.
i.e.


Thus,
b = 2(6)(5) = 60
and


Therefore, the other leg = 60 and the hypotenuse = 61.