Geometry Problem 1409: Right Triangle, Incircle, Excircle, Collinear Tangency Points, Collinearity
Proposition
The figure below shows a right triangle ABC (angle B = 90 degree)
with the incircle I tangent to AC and BC at D and F, respectively. The excircle E corresponding to BC is
tangent to AB extended at G. Prove that D, F, and G are collinear points.
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