# Area of Triangle (삼각형의 넓이)

Computing the area of a triangle using vectors
The area of a parallelogram embedded in a three-dimensional Euclidean space can be calculated using vectors. Let vectors $\textbf{AB}$ and $\textbf{AC}$ point respectively from $A$ to $B$ and from $A$ to $C$.
The area of parallelogram $ABDC$ is $|\textbf{AB} \times \textbf{AC}|$ which is the magnitude of the cross product of vectors $\textbf{AB}$ and $\textbf{AC}$.
And the area of triangle $ABC$ is half of this, $\large{\frac{1}{2}} \normalsize{ |\textbf{AB} \times \textbf{AC}|}$.