Question

Find the center of the circle that you can circumscribe about a triangle with vertices E(4, 4), F(4, 2), and G(8, 2)

Answer 1

the perpendicular bisectors of the 3 sides will meet at the centre of the circle.

midpoint of EF will be (4+4)2 , (4+2)/2 = (4,3)

equation of EF is x = 4 so the equation of the line perpendicular to EF will be
y = 3

midpoint of FG is (6,2) so line perpendicualr to it is x = 6

so center of the circle is ( 6 , 3)