Suppose that a,b,c are positive integers such that
a+b+c=32 and ((b+c-a)/bc) + ((a+b-c)/ab) + ((c+a-b)/ac) =1/4. Does there exist a triangle whose sidelengths are √a, √b and √c ? If there is, find its largest angle.

Question

Suppose that a,b,c are positive integers such that
a+b+c=32 and ((b+c-a)/bc) + ((a+b-c)/ab) + ((c+a-b)/ac) =1/4. Does there exist a triangle whose sidelengths are √a, √b and √c ? If there is, find its largest angle.

goformit100 · Answer

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