# Circumcenter of triangles.

• Nov 26th 2011, 05:17 PM
Christyh101
Circumcenter of triangles.
Find the circumcenter of a triangle with the given vertices.
1. M(-5,0), N(0,14), O(0,0)

2. O(0,0), Y(0,12), Z(6,6)

• Nov 26th 2011, 05:47 PM
Plato
Re: Circumcenter of triangles.
Quote:

Originally Posted by Christyh101
Find the circumcenter of a triangle with the given vertices.
1. M(-5,0), N(0,14), O(0,0)

2. O(0,0), Y(0,12), Z(6,6)

The circumcenter of any triangle is the point of intersection of any two perpendicular bisectors of its sides.

So find the perpendicular bisectors of $\overline{OY}~\&~\overline{OZ}$.
Now where do they intersect? That is the circumcenter.