Crossed Line Segments
Line segments \(AB\) and \(CD\) intersect (internally) at point \(E\). We are given that \(AE=20\), \(EB= 12\), \( CE=10\) and \(ED = 24\). What are the last 3 digits of the expression \( AC \times BD + BC \times AD\)?
Details and assumptions
If you think that the last 3 digits are 012, then you can enter either 12 or 012 as your numerical answer.