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Unformatted text preview: , with 2ft, 10ft, 30 a b A = = = o , find the length of the other side and the measure of the remaining angles. Example 4: Find B . 45 o B 8m 4 2 m Section 7.3 – Laws of Sines and Laws of Cosines 3 Law of Cosines Example 5: Given ∆ PEZ, p = 6 cm, e = 13 cm, and z = 11 cm. Find ∠ Z. a , b , c are lengths of sides A , B , C are angles ( A is opposite a , etc.) Law of Cosines : Generalized Pythagorean theorem. 2 2 2 2 2 2 2 2 2 2 cos 2 cos 2 cos c a b ab C b a c ac B a b c bc A = += += +Used for SAS , SSS cases. SAS – Two sides and the included angle SSS – Three sides A B C a c b Section 7.3 – Laws of Sines and Laws of Cosines 4 Example 6: Given ∆ RUN, r = 7 cm, u = 12 cm, and n = 4 cm. Find ∠ U. Example 7: Two sailboats leave the same dock together traveling on courses that have an angle of ° 135 between them. If each sailboat has traveled 3 miles, how far apart are the sailboats from each other?...
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This note was uploaded on 02/20/2012 for the course MATH 1330 taught by Professor Staff during the Fall '08 term at University of Houston.
 Fall '08
 Staff
 Angles, Law Of Cosines

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