**We examine closely, the pedal triangle
DEF**.
As you see below, the parent triangle ABC , along with arbitrary
pedal point H, allow for the pedal

triangle's existance and situational characteristics.

Point H is the pedal point of the pedal triangle and
is informally: the point of
intersection of the lines that are perpindicular* or normal
to* the extended lines that contain the

segments of the triangle. __Remark :__ *The normal
lines can be established anywhere along the lines*

*conatining the sides of the triangle even inside
the triangle.*

To play and manipulate the pedal triangle **click
here**

To create your own pedal triangle **click
here**

Here is the special case were the Pedal Point H is
the orthocenter and of course inside
the triangle. In actuality the orthocenter is always
a special pedal point to what could
be a pedal triangle.

Below you see the pedal triangle and the pedal point
on a larger circle
**Click here to watch animate,
watch and, augment the above situation**

If you trace one of the midpoints you
will notice an ellipse if you trace all the
midpoints you will have individual
ellipses

What will occur if we rotate H the same dirction, and
trace the midpoints of the triagle created from
the midpoints of the pedal triangle?
**Click here to see**

As we see from various manipulations the pedal triangle
maintains many special
relationships with its parent triangle.

**Click here ****to
construct a derivative concept of the pedal triangle and attempt
to see their**
**similarities.**

**Return**