## Triangle In Square

#### Problem

A line segment is placed on top of a unit square so as to form a triangle region.

Given the length of the line segment, $L$, find the maximum area of the triangle.

Problem ID: 147 (Jan 2004) Difficulty: 3 Star

A line segment is placed on top of a unit square so as to form a triangle region.

Given the length of the line segment, $L$, find the maximum area of the triangle.

Problem ID: 147 (Jan 2004) Difficulty: 3 Star