2. Suppose that T, U, and V are the points where the incircle of AABC touches the sides BC, AC, and AB, respectively. Show that the cevians AT, BU, and CV are concurrent.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter3: Triangles
Section3.CR: Review Exercises
Problem 6CR: Given: B is the midpoint of AC BDAC Prove: ADC is isosceles
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2. Suppose that T, U, and V are the points where the incircle of AABC touches the
sides BC, AC, and AB, respectively. Show that the cevians AT, BU, and CV are
concurrent.
Transcribed Image Text:2. Suppose that T, U, and V are the points where the incircle of AABC touches the sides BC, AC, and AB, respectively. Show that the cevians AT, BU, and CV are concurrent.
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