Activity 3
Right-angled triangle and circle
In triangle ABC, the right angle is C.
1) Draw the three perpendicular bisectors of the three sides of triangle ABC.
2) Create point P, the point of concurrency of the three perpendicular bisectors.
3) Draw the circle of centre P, passing through A.
4) Move points A, B or C and answer the questions.
Question 1
Where does the centre of the circumscribed circle of triangle ABC lie? Note: The center of the circumscribed circle of a triangle is called its circumcenter.