Answer:
Step-by-step explanation:
For a set of points (x1, y1), (x2, y2), (x3, y3), the area can be found as ...
Area = (1/2)|x1(y2-y3) +x2(y3-y1) +x3(y1-y2)|
The four areas are ...
Area1 = (1/2)|-2(2-3) -5(3-6) +1(6-2)| = |2+15+4|/2 = 10.5
Area2 = (1/2)|-5(3+2) +1(-2-2) -3(2-3)| = |-25-4+3|/2 = 13
Area3 = (1/2)|-3(3+3) +1(-3+2) +4(-2-3)| = |-18-1-20|/2 = 19.5
Area4 = (1/2)|1(-3-3) +4(3-3) +5(3+3)| = |-6+0+30|/2 = 12
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Confirmed by a geometry program (see attached).
