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  3. triangle abc has altitude h b a c x ih 27 d b y a.

Triangle ABC has altitude h B A C X ih 27 D b y a...

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Geometry

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Triangle ABC has altitude h B A C X ih 27 D b y a C Move the options to the spaces to complete the proof of the Law of Cosines which becomes By the definition of cosine and multiplication y a cos C Then by subtraction and substitution x b acos C By the definition of sine and multiplication h a sin C By the Pythagorean Theorem by substitution By the distributive property the equation becomes which factors to Pythagorean Identity the final equation is h 1 2 a sin C cos C b 2ab cos C By the c asinC b a cos C 2 a sin C b 2ab cos C a cos C a b 2ab cos C

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