Lesson 21_ CP.notebook
January 28, 2016
Simplify.
12
3
4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196, 225
5
125x3
Lesson 21_ CP.notebook
January 28, 2016
Simplify.
5
2
12
2
Lesson 21
Radicals
Simplify Radicals
1. No perfect square factors under the radical
2. No fraction (decimal) under radical
3. No radical in the denominator of a fraction
Lesson 21_ CP.notebook
January 28, 2016
Geometric Mean or Mean Proportional
x
=
y
In a mean proportional, the means are the same values.
The geometric mean is NOT the arithmetic mean and it is NOT a simple average. It is the nth root of the product of n numbers. That means you multiply a bunch of numbers together, and then take the nth root, where n is the number of values you just multiplied.
1. Find the geometric mean between 4 and 16.
4
=
16
Lesson 21_ CP.notebook
January 28, 2016
Lesson 21_ CP.notebook
January 28, 2016
When an altitude is drawn
to the hypotenuse of a right triangle,
b
a
x
w
y
c
the 3 triangles created are similar to each other.
b
a
c
y
x
x
a
b
w
Lesson 21_ CP.notebook
January 28, 2016
When an altitude is drawn
to the hypotenuse of a right triangle,
the altitude is the geometric mean between the
segments of the hypotenuse.
w
x
b
a
x
w
y
c
Find the missing measures.
9
w
z
x
y
15
=
x
y
Lesson 21_ CP.notebook
January 28, 2016
When an altitude is drawn
to the hypotenuse of a right triangle,
each leg is the geometric mean between the adjacent
segment of the hypotenuse and the entire hypotenuse.
w
a
b
a
x
=
a
c
AND
w
y
y
b
c
Find the missing measures.
n
6
m
r
s
18
=
b
c
Lesson 21_ CP.notebook
January 28, 2016
Find the missing measures.
z
y
x
9
7
w