$\"\"$

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The given vertices of the triangle are $\"\"$ .

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Find an equation of perpendicular bisector of the side $\"\"$ .

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The midpoint of $\"\"$ .

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The slope of $\"\"$ is $\"\"$ .

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Perpendicular bisector is normal to $\"\"$ and passes through the midpoint of $\"\"$ .

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So, slope of perpendicular bisector of $\"\"$ is $\"\"$ .

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$\"\"$ (Point-slope form)

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$\"\"$ (Substitute $\"\"$ , $\"\"$ )

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$\"\"$ (Multiply each side by 3)

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$\"\"$ (Distributive property)

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$\"\"$ (Add 4 to each side)

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$\"\"$ (Subtract 3y from each side) $\"\"$

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Find an equation of perpendicular bisector of the side $\"\"$ .

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The midpoint of $\"\"$ .

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The slope of $\"\"$ is $\"\"$ .

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Perpendicular bisector is normal to $\"\"$ and passes through the midpoint of $\"\"$ .

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So, slope of perpendicular bisector of $\"\"$ is $\"\"$ .

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$\"\"$ (Point-slope form)

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$\"\"$ (Substitute $\"\"$ , $\"\"$ )

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$\"\"$ (Multiply each side by 2)

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$\"\"$ (Distributive property)

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$\"\"$ (Add 3 to each side)

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$\"\"$ (Subtract 2y from each side) $\"\"$

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Solve a system of equations to find the point of intersection of the perpendicular bisectors. $\"\"$

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$\"\"$

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$\"\"$ (Divide each side by negative 5)

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So, $\"\"$

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$\"\"$

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Use y value to determine the x-coordinate.

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$\"\"$ (Write the equation)

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$\"\"$ (Substitute $\"\"$ )

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$\"\"$ (Simplify)

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$\"\"$ (Add $\"\"$ to each side)

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$\"\"$ (Simplify)

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$\"\"$ (Divide each side by 3) $\"\"$

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The coordinates of circumcenter are $\"\"$ .