Please see attached
BN=4 units
AN is an angle bisector
AB + AC = 30 units
m(ABC) = 90 degrees
What is the area of the triangle ABC?
I tried having three equations with three unknowns from phtagors plus the side ratios of angle bisector formulas but i am getting equations to 4th degree, which is not supposed to happen in this test, there must be a much simpler and nicer solution
the answer was given as 60
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