Question

Find the circumcenter of the triangle (-2,4) (-2,-1) (1,-1)

Answer 1

(
`-(1)/(2)` ,
`(3)/(2)` )

Explanation:

(
`x_(1)` ,
`y_(1)` )

(
`x_(2)` ,
`y_(2)` )

Coordinates of midpoint are

(
`(x_(1) +x_(2) )/(2)` ,
`(y_(1) +y_(2) )/(2)` )

~~~~~~~~~~~~~~~~~~~~

The figure is right triangle.

The circumcenter is the middle of the hypotenuse.

( - 2, 4 )

( 1 , - 1 )

(
`-(1)/(2)` ,
`(3)/(2)` )