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A triangle has vertices A(−3, 3) , B(−1, 3) , and C(−1, −1).  Where is the circumcenter of triangle ABC?

 Dec 16, 2020
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The circumcenter  is  the point where all three perpendicualr  bisectors meet  (we actually only need two of them)

 

In this case.......this is a right triangle  with the hypotenuse  = AC....there is an easy way to find the  circumcenter n this situation....

 

See the graph here :  

 

The circumcenter is located at the  midpoint of  hypotenuse AC  =  [ (-3 - 1)/2 , ( 3 +1)/2  ]  = (-2, 2) = D on the  graph

 

 

cool cool cool

 Dec 16, 2020

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