Geometric vs. Arithmetic Means

Author:
Annie

Warmup

In the applet below, you can move point E to change the dimensions of the right triangle. Play with the applet and then answer the questions below.

Compare the Geometric and Arithmetic Means

Arithemetic Mean

How is CD calculated?

Geometric Mean

How is EF calculated?

Equivalent Means

When are the arithmetic and geometric means equal?