The vertices of a triangle are at points (0, 0), (-1, 1), and (3, 3). What is the area of the triangle?

To find the area of a triangle , we can use the formula : \n Area = ( 1 / 2 ) * | x 1 ( y 2 - y 3 ) + x 2 ( y 3 - y 1 ) + x 3 ( y 1 - y 2 )| \n where ( x 1 , y 1 ), ( x 2 , y 2 ), and ( x 3 , y 3 ) are the vertices of the triangle . \n Using this formula , we can plug in the coordinates of the vertices of the triangle : \n Area = ( 1 / 2 ) * | ( 0 )( 1 - 3 ) + (- 1 )( 3 - 0 ) + ( 3 )( 0 - 1 )| \n Area = ( 1 / 2 ) * | (- 1 ) + (- 1 ) + (- 3 )| \n Area = ( 1 / 2 ) * | - 5 | \n Area = 2 . 5 \n There fore , the area of the triangle is 2 . 5 square units . </s>