Notes – Lesson 8.7
Shaw Integrated 2
Name __________________________________
Definition. Geometric Means.
If the altitude is drawn to the hypotenuse of a right triangle, then the measure
of the altitude is the geometric mean between the measure of the parts of the
hypotenuse.
AD CD

CD BD
Sketch a picture and then find the geometric mean of each pair of numbers. Leave answers in radical form, if needed.
1. 4 and 9
2. 4 and 10
3. 4 and 12
4. 3 and 48
Refer to the figure to complete each proportion.
5. small to medium
6. small to large
r h

h
r

7. small to medium
r

h s
c
Find the value of x.
8. medium and small
9. medium and small
10. medium and small
11. medium and small
Combination Examples.
12. A service station will be built on the highway, and a road will connect it with Cray.
a. How far from Blare should the service station be located so that the
proposed road will be perpendicular to the highway?
b.
How long will the new road be?
Find the values of the variables.
13.
14.