Answer:
Step-by-step explanation:
Plot the points.
According to the attached we can see the triangle is right.
Use distance formula to find the length of AB and BC:
- [tex]AB=\sqrt{(1-8)^2+(-2-5)^2}=\sqrt{7^2+7^2}=7\sqrt{2}[/tex]
- [tex]BC=\sqrt{(-3-1)^2+(2+2)^2}=\sqrt{4^2+4^2}=2\sqrt{2}[/tex]
Find the area:
- [tex]A = 1/2(AB*BC)[/tex]
- [tex]A = 1/2(7\sqrt{2}*2\sqrt{2}) = 14[/tex]
