Statement 1 : Let the vertices of a $ABC$ be $A\left(-5,-2\right),B\left(7,6\right),$ and $C\left(5,-4\right)$ . Then the coordinates of the circumcenter are $\left(1,2\right)\dot{}$ Statement 2 : In a right-angled triangle, the midpoint of the hypotenuse is the circumcenter of the triangle.

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