3.4d: Geometric Mean p. 397-404. Arithmetic and Geometric Mean Arithmetic mean is to ADD the 2...

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3.4d: Geometric Mean p. 397-404

Transcript of 3.4d: Geometric Mean p. 397-404. Arithmetic and Geometric Mean Arithmetic mean is to ADD the 2...

Page 1: 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.

3.4d: Geometric Meanp. 397-404

Page 2: 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.

Arithmetic and Geometric Mean

Arithmetic mean is to ADD the 2 numbers and divide by 2

ex. find the mean of 8 and 1210

2

20

2

128

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

8.9969612*8 9.8 is the geometricMean between the 2 numbers

Page 3: 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.

Ex.

• Find the Arithmetic and Geometric Mean between 6 and 15

Page 4: 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.

Geometric Mean… Geometrically !

Lets look at a right triangle with an altitude.

Lets explore the 3 right triangles

A

B

BC

Redraw each triangle and determine if any are similar by AA, SAS, or SSS

Page 5: 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.

http://www.mathwarehouse.com/geometry/similar/triangles/geometric-mean.php

This site shows an interactive example.

Page 6: 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.

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

Page 7: 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.
Page 8: 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.

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

Page 9: 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.

Questions?


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