Area Of Triangles And Quadrilaterals (Shoelace Formulae)

Find the area of triangle ABC, given that A = (2, -3) , B = (-2, -1) and C = (4, 3).Hence, the area of triangle ABC = ________ sq. units

Given that A= (2, t), B = (3 + t, 2) and C =(3,4) are in an anticlockwise direction. Find the values of t if the area is 2.5 square units.   Therefore, t = ______ or t = _______.A. 1, 3B. 2, 5C. 3, -1D. None of the above

Given that A = (3, 4), B = (-4, 2), C= (6, -1) and D = (20, 3) , find the area of quadrilateral ABCD.   Area of quadrilateral ABCD = ______ sq. units.

Given that A = (2, -3), B = (3, -1) , C = (2, 0) and D = (-1, 1) . Find the area of triangle ABC : the area of triangle ACD.   Area of triangle ABC : Area of triangle ACD = ____ : ____A. 1 : 2B. 2 : 1C. 1 : 3D. None of the above

A triangle ABC with the given vertices A= (1, 3), B =(5, 1) and C = (3, r) in an anticlocwise direction. Find the value of r when its area is 6 square units .   Hence , r = ____.