Sunday, October 16, 2011

Law of Sines

Used only in a non-right triangle when you have a “pair”(an angle and opposite side)

Formula: sinA/a = sinB/b = sinC/c

Cross multiply to solve

You get two answers for inverse and you have to check to see if they work.

Ex 1. Angle A = 110 degrees, Angle C = 20 degrees, and side b = 25. Find Angle B, side a, and side c.

180-110-20 = 50 degrees Angle B = 50 degrees

Sin50/25 = sin110/a sin50/25 = sin20/c

asin50 = 25sin110 csin50 = 25sin20

a = 25sin110/sin50 c = 25sin20/sin50

Side a = 30.667m side c = 11.162m

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