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Triangle ABC is defined by the points A(-2,1), B(1,3), and C(5,-1). The area of triangle ABC, rounded to the nearest hundredth, is ____ square units.

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sqdancefan

Answer:

  10.00 square units

Step-by-step explanation:

The area can be computed directly from the coordinates using the formula ...

  Area = (1/2)|Ax(By -Cy) +Bx(Cy -Ay) +Cx(Ay -By)|

  = (1/2)|-2(3-(-1)) +1(-1-1) +5(1-3)| = (1/2)|-8 -2 -10| = (1/2)|-20| = 20/2

  Area = 10 . . . . square units

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