Question

Find the area of the triangle with the given vertices:
1.) A(1,5) B(4,6) C(7,3)

Answer 1

Good old coordinate geometry...

so the area formula for a triangle when given coordinates is

\[\huge \frac{A_x(B_y - C_y) + B_x(C_y-A_y) + C_x(A_y - B_y)}{2}\]

You have your points...
A = (1 , 5)
B = (4 , 6)
C = (7 , 3)

Just plug all of these in and solve :)

Answer 2

Were using matrices to find the area. Here is where I get stuck.