1) Draw the three perpendicular bisectors of the three sides of the triangle.[br][br]2) Create the point of intersection of two bisectors. Name it P.[br][i]hint[/i]: right-click and select Rename.[br][br]3) Draw the circle with centre P, going through A.[br][br]4) Move points A, B or C and answer the questions.
By zooming in on point P , can you tell if the three perpendicular bisectors are concurrent? [br][br]Note: When two or more lines pass through a single point, in a plane, they are concurrent with each other and are called concurrent lines.
By zooming in on points A, then B, then C, can you tell if the circle passes through the three vertices of the triangle? [br][br]Note: In this case the circle is said to be the circumscribed circle of the triangle.
Compare the three lengths PA, PB and PC.