Question 1150862
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<pre>

Use the formula for the area of a triangle 


    S = {{{(1/2)*a*b*sin(gamma)}}}


where "a" and "b" are two any side lengths of the triangle and  {{{gamma}}}  is the concluded angle between them.


From the formula,  {{{sin(gamma)}}} = {{{(2*S)/(a*b)}}} = {{{(2*41)/(17*16)}}} =  0.301471.


Hence,  {{{gamma}}} = {{{arcsin(0.30471)}}} = 0.309634 radians = 17.74 degrees.


The other possible value for the angle  {{{gamma}}}  is 180 degrees MINUS  17.74 degrees = 162.24 degrees.


<U>ANSWER</U>.  At given conditions, there are two possible values for the angle between the sides  

         17.74 degrees  OR  162.24 degrees (approximately).
</pre>

Solved.


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Ignore the solution and the answer by other person, since it is &nbsp;WRONG &nbsp;and &nbsp;IRRELEVANT.


The fact &nbsp;that it is wrong, &nbsp;you can easily check by calculating the area of the triangle with the angle of &nbsp;90.3 degrees between the side.


You can replace then &nbsp;sin(90.3 degree) &nbsp;by &nbsp;1;  &nbsp;it gives you the value for the area of the triangle  {{{(1/2)*16*17)}}} = 8*17 = 136 square centimeters,


which is &nbsp;VERY &nbsp;FAR &nbsp;from the given value of &nbsp;41 square centimeters.