Question

how do you find area of triangle whose sides are given by lines x-2y+4=0; 2x-3y+6=0; 3x+4y-12=0;
without finding the points of intersection

Answer 1

If you find all the points of the triangle, then you can solve it easily

Answer 2

Its easy convert it to a paralleogram using family of lines
any getting it
Try this it is a good question