Answer :

Answer:

6.437

Step-by-step explanation:

By the Law of Cosines, if we let the length of the third side be x,

[tex]x^2 = 8^2 + 10^2 - 2(8)(10)\cos 40^{\circ} \\ \\ x=\sqrt{8^2 + 10^2 - 2(8)(10)\cos 40^{\circ}} \\ \\ x \approx 6.437[/tex]