how do you find the area of a triangle in the coordinate plane?

To find the area of a triangle in the coordinate plane, you can use the formula:

Area = 1/2 * |x1(y2-y3) + x2(y3-y1) + x3(y1-y2)|

where (x1, y1), (x2, y2), and (x3, y3) are the coordinates of the three vertices of the triangle.

You can calculate the area by substituting the coordinates into the formula and then simplifying the expression. Make sure to use the absolute value to ensure that the area is positive.