OK Geometry Report : Task

Author::	Zlatan Magajna                                                      -
Source:	C:\zm\Proj\GeoOkApp\OkExamples\Trapezium2.pro
Comment:

TASK 

Here is a trapezium ABCD. The point E is the intersection of the diagonals. Prove that the areas of triangles AED and BEC are equal.

WORKOUT 

	2 parallel lines - AB|CD - AB|CD	By definition of trapezium, since ABCD is a trapezium..
	3 areas of triangles - ABC~ABD - ABC~ABD	Triangles ABC and ABD have the same basis and equal heights because of #2.
	4 areas of triangles - ADE~BCE - ADE~BCE	From the equal areas, see #3, of ABC and ABD we subract the common area of ABE. The remaining parts, AED and BCE, have the same area.

Notes