3.4d: Geometric Mean p. 397-404. Arithmetic and Geometric Mean Arithmetic mean is to ADD the 2 numbers and divide by 2 ex. find the mean of 8 and 12 10.

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Presentation transcript:

3.4d: Geometric Mean p

Arithmetic and Geometric Mean Arithmetic mean is to ADD the 2 numbers and divide by 2 ex. find the mean of 8 and is the arithmetic mean Geometric mean is to multiply the 2 numbers and take the square root ex. find the geometric mean of 8 and is the geometric Mean between the 2 numbers

Ex. Find the Arithmetic and Geometric Mean between 6 and 15

Geometric Mean… Geometrically ! Lets look at a right triangle with an altitude. Lets explore the 3 right triangles A B B C Redraw each triangle and determine if any are similar by AA, SAS, or SSS

This site shows an interactive example.

Is it a right triangle with an altitude? Then think of the Geometric mean As another approach.

Is it a right triangle with an altitude? Then think of the Geometric mean As another approach.

Questions?