Answer:
The area of triangle is 12 square units
Step-by-step explanation:
we have
The triangle ABC with vertices A(-3,3),B(-3,-3), C(1,-3)
step 1
Using a graphing tool
Plot the triangle
see the attached figure
The triangle ABC is a right triangle
step 2
Find the area of triangle ABC
The area of the triangle ABC is equal to
[tex]A=\frac{1}{2}(BC)(AB)[/tex]
we have
[tex]BC=1-(-3)=4\ units[/tex] ---> the distance is the difference of the x-coordinates
[tex]AB=3-(-3)=6\ units[/tex] ---> the distance is the difference of the y-coordinates
substitute the values
[tex]A=\frac{1}{2}(4)(6)[/tex]
[tex]A=12\ units^2[/tex]
