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.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
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ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter1: Variables, Expressions, And Integers
Section1.8: The Coordinate Plane
Problem 8E
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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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