triangulating 2d-polygons

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hi,
i try to make a simple polygonbased paintprogram.
the problem i have is the DrawPoly function.
it only works with convex polys.
so i need to triangulate the 2d-polygon.

has anyone a simple explanation to solve the problem?
the explanations i can find on the internet are bit to theoretical.

i think a lot of people have my problems with DrawPoly.