Asked by laura

Find the coordinates of the circumcenter for ∆DEF with coordinates D(1,1) E (7,1) and F(1,5).
can you please explain how i can find this answer? i am having trouble
Answered by Steve
this might be a good place to start:

https://brilliant.org/wiki/triangles-circumcenter/

You can also work out where the perpendicular bisectors of two of the sides meet.
Answered by scott
the circumcenter is equidistant from all three vertices

it lies on the intersection of the three perpendicular bisectors of the sides

midpoint DF is ... (1,3) ... b DF is ... y = 3

midpoint DE is ... (4,1) ... b DF is ... x = 4
Answered by laura
steve
i got -2a + 1 - 2b+1 = 14a+28 + 2b+1 i dont know what to do after
and
14a + 28 - 8b-16 + 2a + 1 - 10b+20 but i dont know what to do after this one too :/
Answered by Steve
what, you forgot your Algebra I ?

-2a + 1 - 2b+1 = 14a+28 + 2b+1
14a + 28 - 8b-16 = 2a + 1 - 10b+20

kinda messy, so simplify a bit

16a+4b = -27
12a+2b = 9

Now you can use those to solve for a and b, which I assume are the coordinates of the circumcenter.
Answered by scott
are we all solving the same problem?
Answered by laura
I didnt forget i just have trouble understanding as quick and easy as others im not good in math...
but thankyou for helping me.