WARNING: THIS IS NOT HOMEWORK~!! Okay, so the problem goes like this: "Find a,b,c of a triangle; If a+b+c = 10 ; Area = 10" I know it sounds totally vague (I think so too). So I tried using the Pythagorean theorem; c2 = a2+b2 then the given equation; 10 - a - b = c; then the formula for a right triangle; 10 = 1/2 * a * b; b = 20/a finally; (10 - a - 20/a)2 = a2+(20/a)2 And solving for a, it does not converge to a solution. I tried Heron's formula as well for the area; it doesn't converge properly as well (negative value for b). Am I missing something here; or is this problem really unsolvable?