Geometry Problem 1412: Right Triangle, Incircle, Excircle, Tangency Points, 45 Degree Angle
Proposition
The figure below shows a right triangle ABC (angle B = 90 degree)
with the incircle I tangent to AB and AC at D and G, respectively. The excircle E corresponding to BC is
tangent to BC at F. Prove that the
measure of the angle FDG is 45 degree.
Poster of Problem 1412: Sketching, iPad, Typography, Art
See also: Typography and poster of problem 1408.
Search gogeometry.com
Recent Additions
Geometry Problems
Ten problems: 1411-1420
Visual Index
Open Problems
All Problems
Triangle
Circle
Incircle
Excircle
Tangent Line
Perpendicular lines
45 degrees
View or Post a solution