Natalie G.

asked • 04/27/20

Use the Law of Cosines to solve the triangle. Round your answers to two decimal places.

Use the Law of Cosines to solve the triangle. Round your answers to two decimal places.

A =  °
B =  °
c = 


1 Expert Answer

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Emily T. answered • 04/27/20

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The law of cosines states that {\displaystyle c^{2}=a^{2}+b^{2}-2ab\cos \gamma ,} and any of the three sides can be assigned to any of the variables. For your case because they are already labeled, it is easiest to leave the variables as is. Therefore, the equation would be


c2 = 92 + 4.52 - 2*9*4.5*cos(100)


Solve to get c = 10.74


You can use the same equation to find the other angles by rearranging to say that b2 = a2 + c2 - 2a*c*cosB and then do the same for angle A, or you can do 180 - B - C = A

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