Area of a triangle formed by the points A(5, 2), B(4, 7) and C(7, -4) is _____.
Area of a triangle ABC = 12|[x1(y2−y3)+x2(y3−y1)+x3(y1−y2)]|
Substituting the given coordinates, we have
=12[5(7+4))−(4+2)+7(2−7))]
=12(5(11)+4×(−6)+7×(−5))
=12[(55)−(24)−(35)]
=12×|−4|=2 square units.