Question

What are the coordinates of the circumcenter of this triangle?

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Answer 1

The answer is (3,2) because i had that question on my test.

Answer 2

Answer: The circumcenter of this triangle is (3, 2).

Step-by-step explanation:

Since, circumcenter is the center of the circle which passes through all the vertices of the triangle.

Here,
`\triangle ABC` is a right angle triangle, and, in the case of right angled triangle the circumcenter is the midpoint of the hypotenuse.

In
`\triangle ABC`, AC is the hypotenuse, where A≡(-2,5) and C≡(8,-1)

So, the coordinates of the mid points =
`((-2+8)/(2),(5-1)/(2))= ((6)/(2),(4)/(2))=(3,2)`

So, the circumcenter of
`\triangle ABC` = (3,2)