Law of Cosines

In a right triangle with legs 5 and 12, what is the length of the hypotenuse?

What is the value of $\cos(60\degree)$?

The three angles of a triangle always sum to:

In triangle $ABC$, $a = 6$, $b = 10$, and $C = 60\degree$. Find side $c$. Round to the nearest tenth.

In triangle $PQR$, $p = 8$, $q = 5$, and $R = 40\degree$. Find side $r$. Round to the nearest tenth.

In triangle $ABC$, $a = 7$, $b = 9$, and $C = 120\degree$. Find side $c$. Round to the nearest tenth.

In triangle $ABC$, $a = 5$, $b = 8$, and $c = 9$. Find angle $C$. Round to the nearest degree.

In triangle $DEF$, $d = 11$, $e = 7$, and $f = 6$. Find angle $D$. Round to the nearest degree.