Let ABC be any triangle. Let D be a point on side AB and let E be a point on side AC. Draw lines CD and BE and call their intersection F. Triangle ABC is then divided into three smaller triangles BDF, CEF, BCF and a quadrilateral ADFE.
Let the area of BDF equal r, the area of CEF equal q, and the area of BCF equal p. Express the area of the whole triangle ABC in terms of p, q, and r.
(In reply to computer aided solution
I've tried the formula in Geometers Sketchpad and it doesn't seem to work. You can check if I transcribed the formula correctly at http://mysite.verizon.net/vze1s8au/triangleAreaGSP.jpg.
Posted by Charlie
on 2008-11-30 15:29:04