Q. 3 B4.6( 5 Votes )

Find the area of

Answer :

Given:


y = 0 … (1)


x = 2 … (2)


x + 2y = 3 … (3)


Assuming:


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


Concept Used:


Point of intersection of two lines.


Explanation:


Solving (1) and (2):


x = 2, y = 0


Thus, AB and BC intersect at B (2, 0).


Solving (1) and (3):


x = 3, y = 0


Thus, AB and CA intersect at A (3, 0).


Similarly, solving (2) and (3):


x = 2, y = 12


Thus, BC and CA intersect at C(2, 12).


Area of triangle ABC =


Hence, area of triangle ABC is .


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