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heeeeeeeeeeelp math

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Triangle ABC has an obtuse angle at
B, base
BC has
length equal to 30 and height equal to
24.
D is a point on
the line segment BC and
E is a point on AC such that DE∥AB. F is a point on AB such that FD∥AC. As D
varies within line segment BC, what is the maximum value of area of triangle DEF?

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