Can a
Geometric Mean
be Nice?
Part Three

#### This page is a Java Page that may
take a few moments to fully load.

Please wait until you see the triangle in the Java window
below. When the sketch loads completely you may manipulate the
triangle by clicking on and dragging the RED points. Use the
buttons to display or hide certain values of the segments of the
triangle sides. Notice that as you manipulate and modify the
triangle the values change. Noteworthy changes;

- Try to arrange for the sides of the largest triangle to be in
the form 3,4,5 to show how the Pythagorean theorem works out.
- Notice the geometric means and the proportions of similar
sides changing.
- What values are represented when you hit the sqaures button
and the cross multiply button?
- Where can you indentify a geometric mean?
- Download a GSP
file if the Java File does not work