In the diagram, triangle BDF and triangle ECF have the same area.. If DB = 2, BA = 3, and AE = 5, find the length of line EC. Diagram is below.
Area of ADE = 1/2 5 x 5 = 25/2
area of ABC = 1/2 3 * AC = 25/2
AC = 25/3
AC - AE = EC = 25/3 - 5 = 10/3