Question 1065525
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This triangle is RIGHT-ANGLED.

The circumcenter of ANY right-angled triangle lies in the midpoint of its hypotenuse.

The hypotenuse has vertices (6,4) and (2,6).

Its midpoint is x = (6+2)/2 = 8/2 = 4  and  y = (4+6)/2 = 10/2 = 5.

<U>Answer</U>. The circumcenter is the point with the coordinates (x,y) = (4,5).
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SOLVED.



For the fact that a circumcenter of a right-angled triangle is the midpoint of its hypotenuse, see the lesson

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=http://www.algebra.com/algebra/homework/word/geometry/Median-in-a-right-triangle-drawn-to-its-hypotenuse.lesson>Median drawn to the hypotenuse of a right triangle </A>

in this site.



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