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.
See also: Typography and poster of problem 1408.
Geometry Problems
Ten problems: 1401-1410
Visual Index
Open Problems
All Problems
Triangle
Circle
Incircle
Excircle
Tangent Line
Perpendicular lines
Collinear Points
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