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How do i find the circumcenter of a triangle with ponts (-4,0), (4,2), and (2,6)?
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the given three points satisfy the equation of a circle with center at C with coordinates (h,k), the distance of these points to the center C is equal to each other, and actually the radius of the circle circumscribing the given triangle... the equation of the circle with center C and radius r is defined by...\[(x-h)^2 + (y-k)^2 = r^2\]
if you plug in each point, you will 3 equation and 3 unknowns in terms of h, k, and r.... solving the resulting equations simultaneously will allow you to solve the center of the circle (h,k)...
you think you can do it from here?
be back after 1 hour...@MsSerenityWilliams
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