CPM Homework Banner

Triangle, X,Y,Z, with angle Y, obtuse, side, Z Y, 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.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.

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