# lawsines - Law of Sines P 1 4.2 Law Of Sines Recommended...

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Law of Sines P. 1 4.2 Law Of Sines Recommended Homework: 4.2: 4-7, 17-23 odd, 25-41, 43, 46-50, 53 Oblique triangles have NO Right angles. In order to solve an oblique triangle, we must know the measure of 1 side and the measure of 2 other parts. If we know 2 angles and one side or 2 sides and the angle opposite one of the sides then we can use the law of sines. sin α = h/b h = b sin α sin β = h/a h = a sin β So bsin α = a sin β or b a β α sin sin = In General, the sin of an angle over its opposite side = sin of an another angle over its opposite side This is the Law of Sines c b a γ sin sin sin = =

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Law of Sines P. 2 This formula is used for SSA, ASA, and AAS problems. Remember also, the sum of the angles in a triangle = Case 1: Angle, Angle Side (AAS) or Angle, Side Angle (ASA) Strategy: 1. Find the missing angle using 180º-(sum of other angles) 2. Find the missing side using the Law of Sines 3. Find the remaining side using the Law of Sines Example: b = 10, β = 106.5 ° , γ = 23.5 °
Law of Sines P. 3 Example: α = 15 ° , β = 105 ° , c = 23

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## This note was uploaded on 11/27/2011 for the course MTH 114 taught by Professor Unsure during the Fall '10 term at Michigan State University.

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lawsines - Law of Sines P 1 4.2 Law Of Sines Recommended...

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