A triangle is drawn with integer sides. Two sides are of length x and y such that (xy − 7)² = x² + y². What is the ratio of all possible obtuse triangles to that of all possible triangles?

A) 2 : 3
B) 3 : 5
C) 2 : 5
D) 5 : 7
E) 2 : 7

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  1. The equation is satisfied when x and y are 3 and 4.
    Out of all the possible triangles with two of its lengths 3 and 4, the ratio of obtuse angled triangles to that of total possible triangles is 2:5.

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