Right Triangles, Altitudes, and the Geometric Mean

Problems


Using the above picture (click here to open the gsp sketch) complete the following:

1. z is the geometric mean between ____ and ____.

2.____ is the geometric mean between x+y and x.

Find the values x and y (leave answer in simplified radical form):

3.
 
x =
 
y =

4.

x=

y=

 

 

 

 


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