Question

How to find area of a triangle when the vertices of the triangle are given

Answer 1

By calculationg length of all sides using two consecutive coordinates and by hero's formula calculate area of triangle

Answer 2

If the vertices of the triangle are given we can find the area of the triangle by the following formula :-

$\frac{1}{2} [ x_{1} ( y_{2} - y_{3} ) + x_{2} ( y_{3} - y_{1} ) + x_{3} ( y_{1} - y_{2} )]$