coordinate geometry – straight lines - A (7, 4) and B (2, 0), The point C has coordinates (2, t), where t = 8 (a) Find the area of triangle ABC.

Krishna (last edited 5 years ago) (Expert, Educator @Qalaxia)

Step 1: Locate the coordinates of the endpoints.

EXAMPLE: The given points M (2, 3) and N (-1, 0), (2, -4.) Therefore,

(x_1, y_1) = (2, 3),(x_2, y_2) = (-1, 0) and (x_3, y_3) = (2, -4).

Step 2: Plug the corresponding coordinates into the Area of triangle formula

FORMULA:

[math] \frac{1}{2} [x_1(y_2 - y_3) + x_2(y_3 - y_1) + x_3(y_1 - y_2)] [/math]

EXAMPLE:

[math]\frac{1}{2}[2*(0\ -\ \left(-4\right))+(-1)*(-4-3)+2*(3-0)][/math]

Step 3: Simplify further

[NOTE: Apply the BODMAS rules