Geometric vs. Arithmetic Means
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?
(AF + FB)/2
Geometric Mean
How is EF calculated?
Sqrt(AF*FB)
Equivalent Means
When are the arithmetic and geometric means equal?
When AF = FB
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Información: Geometric vs. Arithmetic Means