A) (4, 6)
1. You can plot the given points (-2,-2) and (4,-2), as you can see in the first graph attached.
2. The formula for calculate the area of a triangle is:
Where b is the base and h is the height.
3. As you can see in the first graph, the lenght of the base is:
So, you must solve for the heigth:
3. Add 8 to the y-coordinate of both points given in the problem to know the coordinates of the other vertex:
(-2,-2+8)=(-2,6) (This is not an option)
(4,-2+8)=(4,6) (Option A. This is the answer).
4. Then, the triangle is shown in the second graph.
Actually, the answer is (4, 6).
I did this problem on a test and got it correct. Also, I know that the formula for a triangles area is bh/2 or base*height divided by 2.The absolute value of the x-values combined is the base which is 6 because I -2 + 4 I = 6 units. To find a height that would give you 24 units squared, you would have to multiply the height that you would put for a rectangle ( 4) by 2 which is 8 units. If you add the absolute value of the y-value in the points ( -2, -2) or ( 4, -2) to the absolute value of the y- value in (4, 6) which gives you the equation I -2 + 6 I = 8 units It will prove that (4, 6) is the missing vertices for the right triangle.
Hope this helpsYour welcome!!!
From (-2, -2) (4, -2), there is a distance of 6 units. We can see this with the X values. From -2 to 4 on a number line is 6 units.
To create a triangle with 24 square units, you will need to think of creating a space that is 48 square units if it were the shape of a rectangle.
6×8 = 48, and half of that, the area of the triangle, would be 24 square units.
Eight units on the Y axis from (-2, -2), would be (-2, 6).
One possible location is (-2, 6).