Perpendicular Bisectors and the Circumcenter Theorem
The triangles seen in this "applet" have three perpendicular bisectors drawn. Each perpendicular bisector intersects at the circumcenter. Use the definition of perpendicular bisector and the circumcenter theorem to answer the questions below.
1. Where is the circumcenter located when you drag one vertex to create a). an acute triangle, b). a right triangle, and c). an obtuse triangle? 2. What do you notice about the distance from the circumcenter to the vertices in each of the triangles you create? 3. If CH = 4.1 cm, then BH = ___ and CB = ___. 4. If BD = 5.3 cm, then AD = ____.