Please coordinate
Geometry
Level
3
A triangular region is formed by the line and . The area of this region is:
The answer is 8.
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1 solution
Let Ax and Ay be the x and y coordinates of point A, and similarly for Bx,By,Cx,Cy. Then the area of a triangle, given its coordinates is: A = (1/2)|Ax(By-Cy)+Bx(Cy-Ay)+Cx(Ay-By|= (1/2)|2(6-2)+6(2-2)+6(2-6)|=8. This is the value of a simple determinant.