Column I

Column II

a.

$x =\frac { - b \pm \sqrt { b ^ { 2 } - 4 a c } } { 2 a }$

1.

Law of Cosines

b.

$\frac { \operatorname { sin } ( A ) } { a } = \frac { \operatorname { sin } ( B ) } { b }$

2.

Area of a triangle

c.

$c^{2} = a^{2} + b^{2}$

3.

Pythagorean Theorem

d.

$c^{2} = a^{2} + b^{2} – 2ab\text{cos}\left(C\right)$

4.

Quadratic Formula

e.

$A=\frac{1}{2}ab\text{sin}\left(C\right)$

5.

Law of Sines