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

Last updated: 12/12/2022

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