There are multiple ways to find the area of a triangle, and you can choose from them according to the known information:

- $S = base \times height / 2$. Any side of a triangle can be the base, and the height is the perpendicular segment between the chosen base and the opposite vertex.
- $S = a \times b \times sin(C) / 2$. $a$ and $b$ are two sides of a triangle, and $C$ is the included angle (the angle between $a$ and $b$).
- $S = \frac{a^2 sin(B)sin(C)}{2sin(A)}$. $a$ is one of the sides, and $A$, $B$, $C$ are the included angles. $A$ is the one opposite to $a$.
- $S = \sqrt{s(s-a)(s-b)(s-c)}$. $a$, $b$, $c$ are the three sides, and $s$ is the semi-perimeter of the triangle.
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