Hello from MrBillDoesMath!
Answer : 32
Discussion:
Label the points as follows:
A = (-2, -3), B = ( 6, -3), C = ( 2.5)
Area of a triangle = (1/2) bh
where "b" is the "base" and "h" is the height of the triangle.
In our case, the base is the line AB, so the length of the base is
b = 6 - ( -2) = 6 + 2 = 8
(6 and -2 are the x coordinates of the points B and A, respectively)
The height is the distance from the y-coordinate of point C to the base AB. That is,
5 - (-3) = 5 + 3 = 8
(5 is the y coordinate of point C; -3 is the y coordinate of the line AB)
Finally,
Area = (1/2) * 8 * 8 = (1/2) 64 = 32
Thank you,
MrB
