6.2 Law of Cosines *Be able to solve for a missing side or angle using law of cosines.

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Presentation transcript:

6.2 Law of Cosines *Be able to solve for a missing side or angle using law of cosines

Solving Oblique Triangles  To solve oblique triangles you need one of the following cases  2 angles and any side (AAS or ASA)  2 sides and the angle opposite one of them (SSA)  3 sides (SSS)  2 sides and their included angle (SAS)

Law of Cosines      

Alternate Form  Solved for the Angle

Three Sides of a Triangle  Find the angles for the triangle with side lengths a = 8 ft, b = 19 ft, and c = 14 ft

Two Sides and the Included Angle - SAS  Find the remaining angles and the side of a triangle with the following information.  A =  b = 15 cm  c = 10 cm

Word Problem  The pitcher’s mound on a women’s softball fiend is 43 feet from home plate and the distance between the bases in 60 feet. (the pitcher’s mound is not half way between home plate and second base) How far is the pitcher’s mound from first base?