# Applying Right Triangles and Trigonometry

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```					Applying Right Triangles
and Trigonometry

Chapter 7
Chapter 7
Two     geometric means
Altitude

Side

Pythagorean    Theorem
Chapter 7
Two     Special Triangles
45-45-90
30-60-90

Trigonometry
Sine
Cosine
Tangent
Geometric Mean
For any positive numbers,
a and b, x is the geometric
mean between a and b if…

a   x

x   b
Geometric Mean
Example: Find the geometric
mean between 7 and 22.
Cross multiply.
7       x
         x  154
2

x       22     x  154
2

x  12.41
Applications of Geometric Mean
Altitude Geometric Mean
D             
BD DC
B                 C
Applications of Geometric Mean

Sides   Geometric Mean

A               CA AB
D            
B                C
Pythagorean Theorem
Applies   to ALL right triangles.
A
a b  c
2     2       2

AC  BC  AB
2       2       2

C           B   leg  leg  hyp
2       2    2
Special Triangles
 45-45-90 Triangles  30-60-90 Triangles
a
45          30
2a
a                   a 3
45       a 2
60
a
Trigonometry
We will study three
trigonometric functions.
Sine
Ratio of lengths
Cosine
of the sides of
Tangent       the triangle.
Trigonometry
opposite
Sine      sin A 
hypotenuse
cos A 
hypotenuse
Tangent            opposite
tan A 
Trigonometry
Remember …

Sohcahtoa!!
Chapter 7 Test   Total Problems: 40

Geometric mean   (7)
Pythagorean Theorem (7)
Special Triangles (7)
Trigonometry (9)
Multiple Choice (10)

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