You can
put this solution on YOUR website!it is +- 1/2 times the matrix
x1 y1 1
x2 y2 1
x3 y3 1
where x1,y1 etc. are the cooridnates of vertex 1, etc. for 2 and 3.
Get the Determinate of that matrix and make it positive using + or- 1/2 times it. that is the area of the triangle.