Points a(-2,3), b(-5,-4), and c(2,-1) form triangle abc on a coordinate plane. what is the area of this triangle in square units?

1. Draw an accurate picture of the triangle in the coordinate axes, as shown in the attached picture.

2. Circumscribe a rectangle about the triangle, as shown in the picture. The coordinates of the points M, N, T are easily identifiable as shown in the picture.

3. The area of the triangle ABC is  The area of the rectangle - Area 1- Area 2- Area 3.

Area 1 = 1/2(3*7)=21/2
Area 2 = 1/2(4*4)=1/2*16=8
Area 3 = 1/2( 3*7)=21/2

Area 1+Area 2+Area 3=21/2+21/2+8=21+8=29 (units squared)

Area rectangle=  7*7=49 (units squared)

Area of triangle is 20 units squared.

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step-by-step explanation: