SOLUTION: Find the equation of the circumcircle of the triangle formed by 2x+y=4, x+2y=5 and x+y=6

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Question 1038904: Find the equation of the circumcircle of the triangle formed by 2x+y=4, x+2y=5 and x+y=6
Answer by Alan3354(69443) About Me  (Show Source):
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Find the equation of the circumcircle of the triangle formed by 2x+y=4, x+2y=5 and x+y=6
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Find the 3 vertices of the triangle. Label them A, B & C.
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Then find the perpendicular bisectors of any 2 sides, AB, AC or BC.
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The intersection of the 2 bisectors is the center of the circle, (h,k).
The distance from the center to A, B or C is the radius.
%28x-h%29%5E2+%2B+%28y-k%29%5E2+=+r%5E2