In the figure below, ABC is an isosceles triangle (AB = BC) and D is a point on CA extended, The Incircle E of the triangle DAB is tangent to BD at F. The excircle G of the triangle DBC is tangent to AC extended at H. Prove that BG and FH are parallel.
BD is called an exterior
cevian of triangle ABC.
Original problem 1374.
Geometric art is a form of art based on the use and application of geometric figures. A geometric figure is any set or combination of points, lines, surfaces and solids.
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