Find AB: Solving $\triangle ABC$ with Given Data

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Albert1
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$\triangle ABC,$ point D and point E are on segment BC

given:

(1)AC=15, BD=9, DE=11, EC=5

(2)$\angle BAD=\angle CAE$

Please find AB=?
 
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  • Geometry diagram of triangle ABC with vertices B(0,0), C(25,0) and A(x,y), with points D, F(x,0) and E on BC, showing tan α equations, distance equations and the result AB = 45/2.
    length of AB.jpg
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