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9-58.

Joanna is solving a puzzle for a math contest. She knows that one of the points in the diagram at right is the circumcenter of . How can she determine which point it is without using construction tools? The figure is drawn to scale. Explain your reasoning.

Triangle, X,Y,Z, with angle Y, obtuse, side, ZY, horizontal, & angle, Z, left of angle, y. Point labeled, A, inside triangle, slightly to the left of point, y. Point B, outside & above triangle, closer horizontally to Z, than to x. Point C, outside & right of the triangle, slightly above, y, & right of, x.

Which point is equidistant from the three vertices of the triangle?