SOLUTION: Find the coordinates of the circumcenter for ∆DEF with coordinates D(1,1) E (7,1) and F(1,5). Show your work

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Question 1087674: Find the coordinates of the circumcenter for ∆DEF with coordinates D(1,1) E (7,1) and F(1,5).
Show your work
Found 2 solutions by ikleyn, Edwin McCravy:
Answer by ikleyn(52793)   (Show Source): You can put this solution on YOUR website!
.
The triangle is right-angled with the legs DE (horizontal) and DF (vertical).


Hence, the circumcenter is the mid-point of the hypotenuse EF, i.e. the point (4,3).

Answer. The circumcenter is the mid-point of the hypotenuse EF, i.e. the point (4,3).



Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!


The circumcenter is where the perpendicular bisectors of the sides
intersect. Two of them are very easy to draw, since the longer leg
is horizontal and the shorter one is vertical.  I'll draw them in green:



So you can see it's C(4,3).

Edwin
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