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Find the coordinates of the circumcenter for DEF with coordinates D(1,1), E(7,1) and F(1,5)

Find the coordinates of the circumcenter for DEF with coordinates D(1,1), E(7,1) and-example-1

1 Answer

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First plot those points. You should see a *right* triangle, with sides:

4 vertical and 6 horizontal


So, the circumcenter is the mid point of the hypotenuse of the triangle, because it is a right triangle (otherwise is really harder).

The mid point of F and E:

CIRCUMCENTER = (F+E)/2 = ( (1,5)+(7,1) ) / 2 = (8,6)/2 = (4,3)

ANSWER (4,3)





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