Geometry Problem 1407: Right Triangle, Incircle, Excircle, Collinear Tangency Points, Collinearity
Proposition
The figure below shows a right triangle ABC (angle B = 90 degree). The
incircle I is tangent to AB at D. The excircle E corresponding to BC is
tangent to BC and AC extended at F and G, respectively. Prove that D, F,
and G are collinear.
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