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The Area of a Triangle inside the Incircle

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Let ABC be a triangle and let be the radius of its incircle with center I. Let D and E be the feet of the perpendiculars from I onto AB and AC, respectively. Then .

Contributed by: Jay Warendorff (March 2011)
After work by: Antonio Gutierrez
Open content licensed under CC BY-NC-SA

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The statement of the theorem is in Problem 80. Triangle Area, Incircle, Inradius, Sides.

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