(a) With usual notations, show that the circumcenter G of a triangle AABC is given in barycentric coordinates by G = (a² (b² + c² – a²) : b² (c² + a² – b²) : c² (a² + b² – c²)). (b) Show that the circumcenter of the triangle with vertices A(0,2), B(2,0), C(/2, V2) is the origin O(0,0).

(a) With usual notations, show that the circumcenter G of a triangle AABC is given in barycentric coordinates by G = (a² (b² + c² – a²) : b² (c² + a² – b²) : c² (a² + b² – c²)). (b) Show that the circumcenter of the triangle with vertices A(0,2), B(2,0), C(/2, V2) is the origin O(0,0).

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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