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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 on theme: "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."— Presentation transcript:

1 3.4d: Geometric Mean p. 397-404

2 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 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 12 9.8 is the geometric Mean between the 2 numbers

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

4 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

5 http://www.mathwarehouse.com/geometry/similar/triangles/geometric-mean.php This site shows an interactive example.

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

7

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

9 Questions?


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