|
Circumcenter of a Triangle
Click here for a printable triangle circumcenter worksheet
How to construct the
circumcenter of a
triangle using only a compass and straightedge.
We start with a given triangle ABC, and end with the circumcenter.
The circumcenter is the center of the triangle's circumcircle. See also
Constructing the circumcircle of a triangle
Note: This is almost identical to the construction of the circumcircle of a triangle.
Only the last step (drawing the actual circle) is different.
Instructions Click on 'Next' to go through the construction one step at a time, or click on 'Run' to let it run without stopping.
(If there is no image below, see support page.)
Step-by-step Instructions
| Step 1 |
Find the bisector
of one of the triangle sides. Any one will do. See
Constructing the Perpendicular Bisector of a Line Segment. |
| Step 2 |
Repeat for the another side. Any one will do. |
| Step 3 |
Mark the point where these two perpendiculars intersect as point O.
|
| Step 4 |
Done. The point O is the circumcenter of the triangle ABC.
Note: This point may lie outside the triangle. This is normal. |
Try it yourself
Click here for a printable worksheet containing two triangle circumcenter problems.
When you get to the page, use the browser print command to print as many as you wish. The printed output is not copyright.
Other constructions
Lines
Angles
Triangles
Triangle Centers
Circles, Arcs and Ellipses
Non-Euclidean constructions
(C) 2007 Copyright John Page
|