In the coordinate plane, A = (-4,4), B = (0,7), and C = (2,-2). What is the area of triangle ABC?
See the image here
Area of ABC =
[DFEC ] - [DBA] - [AEC] - [BFC] =
[6*9 ] - [ (1/2)(4)(3) ] - [(1/2) (6) (6) ] - [(1/2) (2) (9) ] =
54 - 6 - 18 - 9 =
21
