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The sides of a triangle measure 18 inches, 25 inches, and \(38\) inches. To the nearest degree, what is the measure of the largest angle?

 Apr 25, 2022
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The greatest angle is opposite the longest side

 

Using the Law of Cosines   and  doing some rearranging, we have

 

[ 38^2 - 25^2  - 18^2  ]  /  [ -2 (18)(25)  ] cos   (theta )

 

 

arccos ( [ 38^2 - 25^2  - 18^2  ]  /  [ -2 (18)(25)  ] )    = theta ≈  123.4°

 

 

cool cool cool

 Apr 25, 2022
edited by CPhill  Apr 25, 2022

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