Geometric Mean Worksheet

Geometric Mean Worksheet

Read each question carefully and answer to the best of your ability. Show all your work for full credit.

1. What is the geometric mean of two positive numbers, a and b? Explain in your own words.

2. Find the geometric mean of the following pairs of numbers. Round your answer to the nearest tenth if necessary.

a) 4 and 9:  

b) 2 and 18:  

c) 5 and 20:  

d) 3 and 7:  

3. In a right triangle, an altitude is drawn to the hypotenuse. Describe the relationships that involve the geometric mean.

4. Find the value of x in the diagram below.

5. In a right triangle, the altitude to the hypotenuse divides the hypotenuse into two segments. If the lengths of these segments are 5 and 20, what is the length of the altitude?

6. A right triangle has legs of length 6 and 8. Find the length of the altitude to the hypotenuse.