Find the area of the triangle formed by the lines

y = m1x + c1, y = m2x + c2 and x = 0

Given:


y = m1x + c1 … (1)


y = m2x + c2 … (2)


x = 0 … (3)


Explanation:


In triangle ABC, let equations (1), (2) and (3) represent the sides AB, BC and CA, respectively. Solving (1) and (2):



Thus, AB and BC intersect at B


Solving (1) and (3):


x = 0, y = c1


Thus, AB and CA intersect at A 0,c1.


Similarly, solving (2) and (3):


x = 0, y = c2


Thus, BC and CA intersect at C 0,c2.


Area of triangle ABC =



3