## Quant Question Of The Day: 86

# Geometry

**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**

C) 2:5

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.