concyclic points, Tuymaada juniors 2001
Source: Tuymaada Junior 2001 p3
April 30, 2019
Concyclicgeometryangle bisectorcircumcircle
Problem Statement
Let ABC be an acute isosceles triangle () inscribed in a circle with center . The line through the midpoint of the chord and point intersects the line at and the circle at the point . Let the bisector of angle intersects the circle at point . Lines and intersect at point . Prove that the points and lie on the same circle.