#### What happens when the Pedal Point is the Circumcenter?

Since the circumcenter does not always stay
inside the circle, it is surprising that the pedal triangle, whose
pedal point is the circumcenter, stays within the original triangle,
even when it is obtuse.

Since the Circumcenter is defined as the point of concurrency
of the perpendicular bisectors, the feet of the pedal triangle
must be the midpoints of the sides of the triangle. This means,
that by definition, this pedal triangle is in fact the medial
triangle.

Since the vertices of the medial triangle are on the Nine Point
Circle, the circumcircle of this Pedal Triangle is the Nine Point
Circle.

To learn more about the Pedal Triangle, click
**here**.

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