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Algebra 2 CH 9.5 Apply the Law of Sines.notebook
1
August 30, 2013
Apply the Law of Sines
9.5 Apply the Law of Sines
• Solving for unknown sides and angles using the Law of Sines
Apply the Law of Sines
How can we find unknown side lengths and angles when we do not have a right triangle?
We will use the LAW OF SINES!
Apply the Law of Sines
A
B C
c
a
b
The triangle no longer has a hypotenuse, opposite and adjacent sides.
Apply the Law of Sines
Law of Sines
Pull
Pull
Apply the Law of SinesA=115o
B C
c
a=20
b=11
Apply the Law of Sines
Algebra 2 CH 9.5 Apply the Law of Sines.notebook
2
August 30, 2013
Pull
Pull
Apply the Law of SinesA=107o
BC=25o
c=15
a
b
Apply the Law of Sines
Apply the Law of SinesA
B=44o C=51o
c=?
a=11
b
Pull
Pull
Apply the Law of Sines
A=85o
B=44o C=51o
c=?
a=11
bPull
Pull
Apply the Law of Sines Apply the Law of Sines
Supplements Theorem
Algebra 2 CH 9.5 Apply the Law of Sines.notebook
3
August 30, 2013
Apply the Law of Sines
If:
Find another angle that has the same sine value.
Apply the Law of Sines
Apply the Law of Sines
Pull
Pull
Apply the Law of SinesA
B=40o C
c=16
a
b=13
Apply the Law of Sines Apply the Law of Sines
B=40oC=52.3o
c=16
a
b=13A=87.7o
Algebra 2 CH 9.5 Apply the Law of Sines.notebook
4
August 30, 2013
Apply the Law of SinesA=?
B=40o C=127.7o
c=16
a
b=13
Supplements Theorem
Apply the Law of SinesA=?
B=40o C=127.7o
c=16
a
b=13
Apply the Law of SinesA
B=75o C
c=9
a
b=11
Pull
Pull
Apply the Law of Sines
Apply the Law of Sines
Pull
Pull
Apply the Law of SinesA=115o
B C
c
a=20
b=11
Algebra 2 CH 9.5 Apply the Law of Sines.notebook
5
August 30, 2013
Apply the Law of Sines Apply the Law of SinesA=115o
B C
c
a=20
b=11
Apply the Law of SinesA=115o
B C
c
a=20
b=11
Apply the Law of SinesA
B C
c
a
b
Using trigonometry to find the area of a triangle.
Apply the Law of Sines
A=115o
B C
c=14
a
b=11
Apply the Law of Sines
Algebra 2 CH 9.5 Apply the Law of Sines.notebook
6
August 30, 2013
Apply the Law of Sines
When has the Law of Sines been used for a practical purpose?
You can use the Law of Sines to find out how high a mountain is without having to climb the mountain.
25o 38o
B C
D
150mA
Apply the Law of Sines
Apply the Law of Sines
25o 38oA B C
D
150m142o
13o
a
Apply the Law of Sines
Apply the Law of Sines
25o 38oA B C
D
150m
13o
281.81mh
Apply the Law of Sines
Algebra 2 CH 9.5 Apply the Law of Sines.notebook
7
August 30, 2013
25o 38oA B C
D
150m
13o
281.81m
Apply the Law of Sines
h =173.3
Apply the Law of Sines
9.5 Apply the Law of Sines
• Solving for unknown sides and angles using the Law of Sines
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