<PRE><B>Question 1045998</B>
The smallest two sides are 6 m and 8 m. The angle between them is opposite the side 10 m.


Law of Cosines


c^2 = a^2 + b^2 - 2*a*b*cos(C)


10^2 = 6^2 + 8^2 - 2*6*8*cos(C)


100 = 36 + 64 - 96*cos(C)


100 = 100 - 96*cos(C)


100 - 100 = 100 - 96*cos(C) - 100


0 = -96*cos(C)


-96*cos(C) = 0


cos(C) = 0


C = 90 degrees


The final answer is 90 degrees. </PRE>