Perpendicular Bisector with Circumcenter
Directions
1) Use the POLYGON tool 
to construct triangles A(2,3) B(6,13) and C(14,3)
2) Use the INTERSECTION tool 
to construct the Perpendicular Bisector of each side
3) Use the POINT tool 
to construct the intersection of the 3 Perpendicular Bisectors and record its coordinates on your worksheet.
4) Use the SEGMENT tool 
to construct the segment from the circumcenter to the vertices.
to construct triangles A(2,3) B(6,13) and C(14,3)
2) Use the INTERSECTION tool to construct the Perpendicular Bisector of each side
3) Use the POINT tool to construct the intersection of the 3 Perpendicular Bisectors and record its coordinates on your worksheet.
4) Use the SEGMENT tool to construct the segment from the circumcenter to the vertices. Questions
1) Is it ever possible for a triangle's circumcenter to lie OUTSIDE the triangle? If so, under what circumstance(s) will this occur?
2) Is it ever possible for a triangle'scircumcenterto lie ON THE TRIANGLE ITSELF? If so, under what circumstance(s) will this occur?
3) If your answer for (2) was "YES", where on the triangle did Circumcenter lie?
4) Is it ever possible for a triangle'scircumcenterto lie INSIDE the triangle? If so, under what circumstance(s) will this occur?