SOLUTION: Find the smallest angle, to the nearest degree in the triangle whose sides are, 5, 6 and 7.

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Question 783304: Find the smallest angle, to the nearest degree in the triangle whose sides are, 5, 6 and 7.
Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!
The sides are a=5, b=6, c=7



The smallest angle is the one opposite the smallest side.

This is the case of SSS (side-side-side)

We use the law of cosines solved for the cosine:

cos(A) = 

cos(A) = 

cos(A) = 

cos(A) = 

cos(A) = 

Use the inverse cosine on your calculator

A = 44.4153086°

A = 44° to the nearest degree.

Edwin

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