Answer: The circumcenter of this triangle is (3, 2).
Explanation:
Since, circumcenter is the center of the circle which passes through all the vertices of the triangle.
Here, [tex]\triangle ABC[/tex] is a right angle triangle, and, in the case of right angled triangle the circumcenter is the midpoint of the hypotenuse.
In [tex]\triangle ABC[/tex], AC is the hypotenuse, where A≡(-2,5) and C≡(8,-1)
So, the coordinates of the mid points = [tex](\frac{-2+8}{2},\frac{5-1}{2})= (\frac{6}{2},\frac{4}{2})=(3,2)[/tex]
So, the circumcenter of [tex]\triangle ABC[/tex] = (3,2)
