Triangle puzzle - equal areas

I hope Pat doesn't mind that I copied the image from his blog... He posted this triangle puzzle on his blog and I thought you might enjoy it, too!

Basically, we have a triangle DFE inside a rectangle, dividing the rectangle into various triangles.  And, the three areas of fainter color are equal. That is, the area of the triangle DAE = area of the triangle EBF = area of the triangle FCD. (Notice the image is not drawn to scale at all.)

And, we're asked to solve the RATIOS AE : EB and BF : FC.

The solution is here.

Comments

multiply fractions calculator said…
Hey can you please tell us that we can use any method or have to apply some specific method like here we can go for exterior angle theorem.
6:44 AM, February 17, 2012
Maria Miller said…
Sorry - I forgot to pots the link to the solution - it's here now.
6:55 AM, February 17, 2012
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