In the diagram, \triangle A B C is right-angled at C. Point D is on A B and point E is on B C so that D E is perpendicular to B C, B E=A C, B D=120, and D E+B C=288. What is the length of D E?
In the diagram, \triangle A B C is right-angled at C. Point D is on A B and point E is on B C so that D E is perpendicular to B C, B E=A C, B D=120, and D E+B C=288. What is the length of D E?