I need HELP MAJORLY!?

Question

The vertices of triangle ABC are A(1,2), B(3,1), and C(0,-1). Find the coordinates of the circumcenter

Answer 1

Let O be origin
A(1,2) , B(3,1) , C(0 - 1)
Let E be mid point of BC
E(1.5 , 0)
F is circumcentre where F = (2/3) AE
f and a are vectors such that
f = a + (2/3) AE
f = (1 , 2) + (2/3) (0.5 , - 2)
f = (1 , 2) + (1/3 , - 4 / 3)
f = (4/3 , 2 / 3)
Circumcentre is F(4/3 , 2 / 3)

Answer 2

Lets do it by steps:
1. Find the mid point of A and B.
2. Find the slope of the line going through points A and B, call it m.
3. The slope of the line perpendicular to the line going through A and B is -1/m from 2).
4. Along with the point found in 1) and the slope in 3), write the equation of the line. Call this line L1.
5. Find the midpoint of A and C.
6. Find the slope of the line going through points A and C. Call it m1.
7.The slope of the line perpendicular to the line going through A and C is -1/m1. from 6)
8. Along with the point found in 5) and the slope in 7, write the equation of the line. Call this line L2.
9. Use a linear system with equations L1 and L2. The solution of the system is the answer to your problem.
Ans: ( 19/14 , 3/14)

Answer 3

x=(1+3+0)/3, y= ( (2+1+(-1))/3

x=4/3

y=2/3

Answer 4

Hi. This may help you understand: http://faculty.evansville.edu/ck6/tcenters/class/ccenter.html

Answer 5

you shouldn't put homework questions on here!