## Perpendicular Construction

#### Problem

ABCD is a unit square, M is the midpoint of BC, and DX is perpendicular to AM.

Prove that triangle DXC is isosceles but not equilateral.

Problem ID: 134 (Nov 2003) Difficulty: 3 Star

ABCD is a unit square, M is the midpoint of BC, and DX is perpendicular to AM.

Prove that triangle DXC is isosceles but not equilateral.

Problem ID: 134 (Nov 2003) Difficulty: 3 Star