If A, B, and C are the measures of the angles of any triangle and if a, b, and c are the lengths of the sides opposite the corresponding angles, then the Law of Cosines states that a = + c + 2bc cos A. a=b?+c? + 2bc cos A. b2=a?.c? - 2accos . b2 =a? - + 2ac cos B. b2 =a2 -? - 2ac cos B.
If A, B, and C are the measures of the angles of any triangle and if a, b, and c are the lengths of the sides opposite the corresponding angles, then the Law of Cosines states that a = + c + 2bc cos A. a=b?+c? + 2bc cos A. b2=a?.c? - 2accos . b2 =a? - + 2ac cos B. b2 =a2 -? - 2ac cos B.
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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![If A, B, and C are the measures of the angles of any triangle and if a, b, and c are the lengths of the sides opposite the corresponding angles, then the Law of Cosines states that:
\[ a^2 = b^2 + c^2 - 2bc \cos A. \]
Additional equations based on the Law of Cosines are provided as follows:
\[ b^2 = a^2 + c^2 - 2ac \cos B. \]
\[ c^2 = a^2 + b^2 - 2ab \cos C. \]
These equations allow for the calculation of a side length in a triangle when the other two sides and the included angle are known.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7327d8e7-0913-4f27-980e-662d07cdc597%2F1aff568e-927f-4301-b045-43ff5ac8759a%2F8toe59oj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:If A, B, and C are the measures of the angles of any triangle and if a, b, and c are the lengths of the sides opposite the corresponding angles, then the Law of Cosines states that:
\[ a^2 = b^2 + c^2 - 2bc \cos A. \]
Additional equations based on the Law of Cosines are provided as follows:
\[ b^2 = a^2 + c^2 - 2ac \cos B. \]
\[ c^2 = a^2 + b^2 - 2ab \cos C. \]
These equations allow for the calculation of a side length in a triangle when the other two sides and the included angle are known.
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