**The circumcenter
of a triangle is located at the intersection of the perpendicular
bisectors of the sides of the triangle.**

**It is interesting to examine
the location of the circumcenter for different classifications
of triangles. **

**In this instance, the circumcenter is located
in the interior of the triangle.**

**Again, the circumcenter is located in the
interior of the given triangle.**

**In this final classification of acute triangles,
we again find that the circumcenter is inside the triangle.**

**CONCLUSION: The circumcenter of any acute
triangle is located in the interior of the triangle.**

**In this instance, we see that the circumcenter
is located at the midpoint of the hypotenuse of the triangle.
To test that this is true for any right isosceles triangle, click here.**

**Again, we find that the circumcenter is
located at the midpoint of the hypotenuse.**

**CONCLUSION: The circumcenter of a right
triangle is located at the midpoint of the hypotenuse.**

**In this case, we see that the circumcenter
is located outside of the given triangle. Also, notice that is
opposite the obtuse angle. To try this for yourself, click
here.**

**We find the same situation in this instance.
The circumcenter is outside the triangle, opposite the obtuse
angle. To explore, click here.**

**CONCLUSION: The circumcenter of an obtuse
triangle is located outside the triangle, opposite the obtuse
angle.**