Answer:
The area of the given triangle ABC is 10 units.
Step-by-step explanation:
we have the area of the triangle when points are given is given by the relation
Area of triangle=
[tex] \frac{1}{2} {x1 \times (y2 - y3) + x2 \times (y3 - y1) + x3 \times (y1 - y2)}[/tex]
and hence putting the Value
triangle = 1/2*( -2*(-2+2)+2*(-2-3)+(-2)*(3+2))
= 1/2*(0+2*(-5)+(-2)*5)
= 1/2*(-10-10)
= 1/2*(-20)
= (-10) units
Since area of the triangle is always positive, we neglect the minus sign and take 10 units as its area.
