Given a 9, b= 7, and C=15, use the law of cosines to solve the triangle...

Question

Question

Answer 1

Answer #1

Given

a = 9

b = 7

c = 15

Apply law of cosine

c² = a² + b² - 2*a*b*cos( C )

=> c² - a² - b² = - 2*a*b*cos( C )

=> [ c² - a² - b² ] / ( - 2*a*b ) = cos( C )

Put the values of a , b and c

=> [ 15² - 9² - 7² ] / ( - 2*9*7 ) = cos( C )

=> [ 225 - 81 - 49 ] / ( - 126 ) = cos( C )

=> - 95 / 126 = cos( C )

=> C = arccos( - 95 / 126 )

=> C = 138.93 degree

Answer 2

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