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Week 28 (3/24/03)
Rectangle in a circle
Given a cyclic quadrilateral ABCD, draw the diagonals AC and BD. Prove that
the centers of the inscribed circles of triangles ABC, BCD, CDA, and DAB are
the vertices of a rectangle.
A
B
C
D

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Prob28

  • 1. Week 28 (3/24/03) Rectangle in a circle Given a cyclic quadrilateral ABCD, draw the diagonals AC and BD. Prove that the centers of the inscribed circles of triangles ABC, BCD, CDA, and DAB are the vertices of a rectangle. A B C D