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A classical theorem of geometry tells us that in any triangle ABC the bisectors meet at the center of a circle that passes through the three vertices. Check this theorem for the triangle with vertices A = (4, 0), B = (2, −2) and C = (−2, −2); giving the equation of the three bisectors, finding the common point and giving the equation of the circumscribed circumference.

A classical theorem of geometry tells us that in any triangle ABC the bisectors meet at the center of a circle that passes through the three vertices. Check this theorem for the triangle with vertices A = (4, 0), B = (2, −2) and C = (−2, −2); giving the equation of the three bisectors, finding the common point and giving the equation of the circumscribed circumference.

Elementary Geometry For College Students, 7e
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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A classical theorem of geometry tells us that in any triangle ABC the bisectors meet at the center of a circle that passes through the three vertices.

Check this theorem for the triangle with vertices A = (4, 0), B = (2, −2) and C = (−2, −2); giving the equation of the three bisectors, finding the common point and giving the equation of the circumscribed circumference.

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