Answer:
15 units
Explanation:
1. You'll need to use the coordinate geometry formula:
area =
the absolute value of Ax(By - Cy) + Bx(Cy - Ay) + Cx(Ay - By) divided by 2.
2. If the coordinates of the triangle's vertices are A: (-2,2) B: (4,-1) and C: (-2,-3), where the first number is the x coordinate and the second is y, fill in your formula like this: -2(-1 - -3) + 4(-3 - 2) + -2(2 - -1).
3. Subtract the numbers within the parentheses. In this example, subtracting -3 from -1 = 2, 2 from -3 = -5 and -1 from 2= 3.
-2(2) + 4(-5) + -2(3).
4. Multiply that result by the number to the left of the parentheses. In this example, multiplying -2 by 2 = -4, 4 by -5 = -20 and -2 by 3 = -6.
-4 + (-20) + (-6)
5. Add the three products together.
-4 + (-20) + (-6) = -30
6. Divide the sum of the three products by 2.
-30 / 2 = -15.
7. Remove the negative sign (-) from the number 15. The area of the triangle is 15, found from the three vertices. Because the formula calls for absolute value, you simply remove the negative sign.
Hope this helped :)