classwork /handout Mr. Lovemore

Friday, January 3, 20

Geometric Mean

When you wrote the proportionality statements, you used some segments twice. This is because the triangles overlap

To calculate the geometric mean of a set of numbers, multiply the numbers and take the nth root. If there are only two numbers in the set, take the square root of the product. Here is a definition that may help you see the relationship between the proportions you wrote and the geometric mean.

x is the geometric mean of a and b if ax =

xb,or x2= ab, or x =√ab.

Corollary - forming a proposition that follows from one already proved.

classwork /handout Mr. Lovemore

Friday, January 3, 20

PRACTICE EXERCISES:

classwork /handout Mr. Lovemore

Friday, January 3, 20

Apply the concepts of geometric mean to answer the following problems:1. Find the geometric mean of 10 and 30. 4. Find the value of x, y and z.

2. Find the value of x.

3. Find the value of y.

Name: __________________________________ Period: _________ Score: ________Direction: Read, analyze and understand of what is being asked. Apply the concepts of geometric mean to answer the following problems: SHOW YOUR WORK.4. Find the geometric mean of 5 and 20. 4. Find the value of x, y and z.

5. Find the value of x.

6. Find the value of y.

5. What is the value of x in the given figure below?

8 12

3 8

6

9

classwork /handout Mr. Lovemore

Friday, January 3, 20

5.

Another example:Find the value of x and h in the given problem below: