Question

6. Use analytic geometry to verify the Law of cosines for $\triangle ABC$: $c^2 = a^2 + b^2 - 2ab \cos C$. [Hin: Choose coordinates so that C is the origin and A lies on the positive x-axis. What is the coordinates of B in terms of a and $\angle ACB$?]

          6. Use analytic geometry to verify the Law of cosines for \(\triangle ABC\): $c^2 = a^2 + b^2 - 2ab \cos C$.
[Hin: Choose coordinates so that C is the origin and A lies on the positive x-axis. What is
the coordinates of B in terms of a and \(\angle ACB\)?]

6. Use analytic geometry to verify the Law of cosines for ABC: c^2 = a^2 + b^2 - 2ab cos C.
[Hin: Choose coordinates so that C is the origin and A lies on the positive x-axis. What is
the coordinates of B in terms of a and ∠ ACB?]

Added by Brandon M.

Geometry A Common Core Curriculum

Ron Larson, Laurie Boswell 1st Edition

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Solved by Expert Lashaumbe Jernigan

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Choose coordinates such that C is the origin and A lies on the positive x-axis. Let's assume that the coordinates of C are (0, 0) and the coordinates of A are (a, 0). Show more…

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Use analytic geometry to verify the Law of cosines for ABC: c = a^2 + b^2 - 2ab cos C. [Hint: Choose coordinates such that C is the origin and A lies on the positive x-axis. What are the coordinates of B in terms of a and angle CAB?]