data-ad-format="horizontal">



 

Constructing the circumcenter of a triangle

This is the step-by-step, printable version. If you PRINT this page, any ads will not be printed.

See also the animated version.

After doing this Your work should look like this

We start with a triangle ABC.

1.  Find the bisector of one of the triangle sides. Any one will do.

See Constructing the Perpendicular Bisector of a Line Segment for detailed instructions.

2.  Repeat for the another side. Any one will do.
3.  Mark the point where these two perpendiculars intersect as point O.
(Optional step) Repeat for the third side. This will convince you that the three bisectors do, in fact, intersect at a single point. But two are enough to find that point.

Done   The point O is the circumcenter of the triangle ABC.

Note: This point may be outside the triangle. This is normal.

While you are here..

... I have a small favor to ask. Over the years we have used advertising to support the site so it can remain free for everyone. However, advertising revenue is falling and I have always hated the ads. So, would you go to Patreon and become a patron of the site? When we reach the goal I will remove all advertising from the site.

It only takes a minute and any amount would be greatly appreciated. Thank you for considering it!   – John Page

Become a patron of the site at   patreon.com/mathopenref

Other constructions pages on this site

Lines

Angles

Triangles

Right triangles

Triangle Centers

Circles, Arcs and Ellipses

Polygons

Non-Euclidean constructions