Four Concyclic Points
Let ABC be a triangle and H the foot of the altitude from B. Let M be the midpoint of AC. Let P and Q be the feet of the perpendiculars from A and C to the angle bisector of the angle ABC. Then H, M, P and Q lie on a circle.
After work by:
THINGS TO TRY
D. Grinberg, "From Baltic Way to Feuerbach: A Geometrical Excursion,"
(2), 2000 p. 2.
Four Concyclic Points
Wolfram Demonstrations Project
Published: April 2, 2008
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An Altitude and Four Concyclic Points
Concyclic Points Derived from Midpoints of Altitudes
Concyclic Points Associated with an Angle Bisector and an Excircle
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Four Collinear Points Related to the Altitudes
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A Relation between Altitudes of Four Triangles
High School Geometry
High School Mathematics
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