Task 10
- Autor:
- Alberto Arnal Bailera
Construction of the circumcenter for a general triangle:
The CIRCUMCENTER is usually defined as the intersection point of the three perpendicular bisectors of a triangle. This point is the center of the circumscribed circle, that passes through the three vertices. Hence, the circumcenter is at the same distance from the three vertices of a triangle.
Construct the circumcenter of the triangle.
a) In which cases is the circumcenter INSIDE the triangle? b) In which cases is the circumcenter OUTSIDE the triangle? c) In which cases does the circumcenter LIES on the sides of the triangle? Where is the circumcenter? d) In which cases does a perpendicular bisector pass through the opposite vertex? e) In which cases do the three perpendicular bisectors passes through the corresponding opposite vertices?