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## Homework Statement

Show that the ratio of areas is proportional to the sides squared:

[tex]\frac{[ACD]}_{[CDB]}[/tex] is proportional to [tex] \frac{AC^2}_{CB^2} [/tex]

Please, see the picture: http://dl.getdropbox.com/u/175564/geo_henry.JPG [Broken].

## Homework Equations

AC = 2 * CB

[tex] \frac{AD}_{DB}[/tex] is propotional to [tex]\frac{[ACD]}_{[CDB]} [/tex]

where [ACD] and [CDB] are areas.

## The Attempt at a Solution

I was unable to prove the relation with pythagoras, so I feel an easier solution. Perhaps, you can prove it somehow with affine geometry.

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