What are the coordinates of the circumcenter of this triangle? Enter your answer in the boxes. (,)

Question

asked Jan 10, 2018 93.6k views

2 Answers

Ggirtsou · Answer 1 · 2018-01-17T07:57:24+0000

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)