In the given figure, ABC is a right angle triangle, right angle at B, BD is perpendicular to AC. MNP is incircle of triangle ABC touches AC at M. O is the center of the incircle. Inradius OM = 15 cm . AC is tangent to the bigger circle at point D and the center is at B. Bigger circle intersects AB at point E and BC at point F. FC = 9 cm and AE = 24 cm .
What is the area of the triangle ABC ?
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