Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN: 9781305658004
Author: Ron Larson
Publisher: Cengage Learning
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Question
Let AABC be a triangle with sides a, b and c and an angle Y = 2(ACB) between the sides a and b. Prove that the Law of Cosines holds true c²a² +6²-2ab cos y. Hint: Introduce a coordinate system so that y is in a standard position, then express coordinates and y of the vertex A(x, y) in terms of y and the use the distance formula to compute c.
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Transcribed Image Text:Let AABC be a triangle with sides a, b and c and an angle Y = 2(ACB) between the sides a and b. Prove that the Law of Cosines holds true c²a² +6²-2ab cos y. Hint: Introduce a coordinate system so that y is in a standard position, then express coordinates and y of the vertex A(x, y) in terms of y and the use the distance formula to compute c.
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