Maria H.

asked • 03/02/23

A=(3,3), B=(2,10), C=(9,11) Find the coordinates of the circumcenter and the radius of the circumscribed circle for △ABC.



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Yefim S. answered • 03/02/23

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Perpendicular bisector of AB: (x - 3)2 + (y - 3)2 = (x - 2)2 + (y - 10)2; - 6x - 6y + 18 = - 4x - 20y + 104;

x - 7y = - 43;

Perpendicular bisector of BC: (x - 2)2 + (y - 10)2 = (x - 9)2 + (y - 11)2; - 4x + 4 - 20y + 100 = - 18x + 81 - 22y + 121; 14x + 2y = 98; 7x + y = 49; x = 7y - 43; 49y - 301 + y = 49; 50y = 350; y = 7, x = 49 - 43 = 6

(6,7) is circumcenter

It's radius R = √(7 - 3)2 + (6 - 3)2 = 5

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Dayv O.

(6,7) is circumcenter, point (3,3) is 5 away from (6,7) and (7,6)
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03/02/23

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