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Online Geometry Problem 617: Right Triangle Area, Incircle, Incenter, Tangent, 90 Degrees. Level: High School, Honors Geometry, College, Mathematics Education

The figure shows a right triangle ABC, the incircle and the hypotenuse are tangent at D. If AD = 2, and CD = 3, find the area of triangle ABC.
 

Right triangle area, incircle, tangent, 90 degrees
 

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