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.

  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