Area of a triangle

The area of any triangle can be calculated using the following equation:

$Area=\left({\frac {1}{2}}\right)bc(sinA)=\left({\frac {1}{2}}\right)ac(sinB)=\left({\frac {1}{2}}\right)ab(sinC)$

Triangle

Right triangles

For right triangles, the angle C, opposite the hypotenus (c), is 90 degrees. The sign of 90 degrees is 1, so the equation reduces to:

$Area=\left({\frac {1}{2}}\right)ab$