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Nookie1986 [14]
3 years ago
8

What are the coordinates of the circumcenter of a triangle with vertices A(−3,−4), B(1,−4), and C(−3,0)?

Mathematics
2 answers:
ra1l [238]3 years ago
8 0
The coordinate of the circumecenter of a triangle is A
kvv77 [185]3 years ago
6 0
The circumcenter is equal distance from all 3 verices.
Using distance formula, equate distance to A with distance to C:
(x+3)^2 +(y+4)^2 = (x+3)^2 + y^2
The x terms cancel, Expand and solve for y:
y^2 +8y+16 = y^2
y = -2
Now do same thing for point A and B:
(x+3)^2 + (y+4)^2 = (x-1)^2 + (y+4)^2
y terms cancel
x^2 +6x+9 = x^2-2x+1
x = -1

Circumcenter is the point (-1,-2)

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