Let BE = ED = x.  Then
BD = 2x = DC.  Then
BC = 4x = AB

By using the Pythagorean theorem on right triangle ADC,
AD = 

EC = ED + DC = x + 2x = 3x

Area of triangle AEC = 

Since the area of triangle AEC = , we have
the equation:



Divide both sides by 





So AB = 4x = 4(3) = 12

Edwin





 

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