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The Geometric Mean between 3 and 6 is: 



                               x2= 18
                               x = 3√2

Using the model above, find the Geometric Mean of each of the following 
pairs of numbers:

1.) 3 and 3

2.) 4 and 25

3.) 5 and 30




                                                                           1
8.1 Right Triangle Similarity

What could you conclude about the three triangles formed when an altitude 
was drawn to the hypotenuse of a right triangle?




          C
                                C

                                                           A



         A                                                 D        B
                             B D                A




                                                                             2
We used the idea of similar triangles to find the answers for # 5.  Today we're 
going to use Geometric Mean as a shortcut for this!!
  C
                              *Middle Altitude (Altitude in 2 smaller triangles)


              D
                              *Outside Altitudes (Altitudes in big triangle & 
                              1 small triangle)

 A                     B


      5A.)                         5B.)                          5C.)




                                                                                   3
Geometric Mean Group Practice:
  1. Solve for the variables.




                                 4
2. Solve for the variables.




                              5
3. Solve for the variables.




                              6
4. Solve for the variables.




                              7
5. Solve for the variables.




                              8
6. Solve for the variables.




                              9
Mastermind!!!!




                 10

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8 1 Notes