*Finding the Circumcircles*

### Marianne Parsons

*Given triangle ABC, find the circumcircle
of triangle AHB, triangle BHC, and triangle CHA.*

Remember, the circumcircle is defined as the
circumscribed circle that passes through each of the triangle's
vertices whose center is the circumcenter. The circumcenter can
be found at the intersection of the triangle's **perpendicular
bisectors**.

### Triangle ABC

We can see the *perpendicular bisectors*
of this triangle intersect at point **O**. Therefore, **O**
is the circumcenter.

### Triangle AHB

We can see the *perpendicular bisectors*
of this triangle intersect at point **d**. Therefore, **d**
is the circumcenter.

### Triangle BHC

We can see the *perpendicular bisectors*
of this triangle intersect at point **e**. Therefore, **e**
is the circumcenter.

### Triangle CHA

We can see the *perpendicular bisectors*
of this triangle intersect at point **f**. Therefore, **f**
is the circumcenter.

Return to Assignment 8