Law of Sines and Cosines Accelerated Math 3. You should know… Solving a triangle means finding all...
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Sines and Cosin es Accelerated Math 3
Transcript of Law of Sines and Cosines Accelerated Math 3. You should know… Solving a triangle means finding all...
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Law of Sines and
Cosines
Accelerated Math 3
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You should know…
•Solving a triangle means finding all sides and angles.•Law of Sines and Cosines work for all triangles – not just right triangles.
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Law of Sines
a
b
c
A
B
C
a b c
SinA SinB SinC
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Ex. 1: Solve the triangle with C = 102.3o, B = 28.7o and b = 27.4 ft. (Given AAS)
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Law of cosines
•a2 = b2 + c2 – 2bcCosA•b2 = a2 + c2 – 2acCosB•c2 = a2 + b2 – 2abCosC
b
ac
A
B
C
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Ex. 2: Find all the angles. (Given SSS)• a = 8 ft, b = 19 ft and c = 14 ft
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Ex. 3: Find the missing measures. (Given SAS)• A = 115o, b = 15 cm and c = 10 cm
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