Pleeeease Help!!

Question

Find the coordinates of the circumcenter for ΔDEF with coordinates D(1,1) E (7,1) and F(1,5). Show your work.

Answer 1

See Mark's answer above for a good start.

This particular triangle has sides parallel to the x and y axes.

So the solution will not require any calculations or need

to find the equations of the sides. That would make

the problem solution involve solving simultaneous equations

for the intersection point.

In this case the solution will fall out when you draw

the perpendicular bisectors of the sides.

 

Answer 2

Draw a diagram:

The figure is a right triangle!

Draw perpendicular bisector of each leg.

At what point do the lines intersect?

That is the circumcenter!