Geometry Problem 1416: Right Triangle, Altitude, Incircle, Excircle, Tangency Points, 45 Degree Angle
Proposition
The figure below shows a right triangle ABC (angle B = 90 degree)
with the altitude BH. The incircle I is tangent to BC at D. The excircle E corresponding to BC is
tangent to BC at G and tangent to the extension of AB at F. FD extended and BH meet at J. Prove that
the measure of the angle FJG is 45 degree.
Geometric Art of Problem 1416: Sketching, Typography, iPad Apps
See also: Typography and poster of problem 1408.
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