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Perpendicular bisectors of the sides of a triangle

In the figure, the perpendicular bisector of each side of the triangle ABC is drawn in black. Click and drag any of the blue points to change the size and orientation of the triangle. What do you observe?

1. What happens to the point of intersection of the perpendicular bisectors in a right-angled triangle?
2. What is the relationship between the circle drawn through the vertices of the triangle and the point of intersection of the perpendicular bisectors?

© State of New South Wales, Department of Education, 2018