Question

What are the coordinates of the circumcenter of the triangle?

Please show your work:


Enter your answer below:
( ____ , ____ )

Answer 1

It's the right angle. The circumcenter is in half of hypotenuse.

The formula of a midpoint of segment BC:

`M\left((x_B+x_C)/(2),\ (y_B+y_C)/(2)\right)`

We have the points B(-2, -2) and C(7, -5). Substitute:

`(-2+7)/(2)=(5)/(2)=2.5\\\\(-2+(-5))/(2)=(-7)/(2)=-3.5`

Answer: (2.5, -3.5)