The figure below shows a triangle ABC
with the incenter I, a cevian BD, the circumcircle O and M midpoint of arc
AC. A line segment through I and perpendicular to the bisector of the
angle BDC intersects BD at E, and AC at F. MF extended intersects arc BC
at T. Prove that the circumcircle Q of the triangle EFT is tangent to BD
at E, AC at F, and arc BC at T.
See also: Typography and poster of problem 1408.
Geometry Problems
Ten problems: 1411-1420
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Triangle
Circle
Incenter
Circumcircle
Tangent Line
Tangent Circles
Angle Bisector
Perpendicular lines
Midpoint
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