The triangle ABCD is given. Let c1 be circle passing through vertex A and intersecting sides AB and AC in points D and E, respectively. Let c2 be circle passing through vertex B and point D, intersecting side BC and the circle c1 in points F and T, respectively. Prove the quadrilateral CETF is cyclic. Explain in detail.

The triangle ABCD is given. Let c1 be circle passing through vertex A and intersecting sides AB and AC in points D and E, respectively. Let c2 be circle passing through vertex B and point D, intersecting side BC and the circle c1 in points F and T, respectively. Prove the quadrilateral CETF is cyclic. Explain in detail.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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