A triangle has sides A, B, and C. Sides A and B are of lengths #2# and #4#, respectively, and the angle between A and B is #pi/4#. What is the length of side C?

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Otis V. Share
Apr 16, 2017

Answer:

2.95

Explanation:

Using the law of cosines which states that the square of a sides length is equal to the sum of the squares of the other 2 sides minus the product of the length of the 2 other sides and the angle between them

#C^2=A^2+B^2-2*A*B*cos(c)#

#C=sqrt(4+16-16cos(pi/4))=2.95#

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