The problem is the following:Given that in a right triangle with sides of length x,y, and z respectively where x < y < z (therefore z is the hypotenuse)
x^2 + y^2 = z^2 (by Pythagoras)
and given that the area of the triangle is 666666, so
1/2*x*y = 666666
compute x,y, and z such that the triple (x,y,z) is a pythagorean primative (this is a triple that follows x^2 + y^2 = z^2 AND gcd(x,y,z)=1)
I'm not looking for a direct answer. I am looking for some paths to FIND the answer. I am missing something about this problem and I don't know what I am missing (obviously otherwise I would have solved it). So my question is what relationships would I need, or information might I need in order to solve this problem.