Q. 3 C5.0( 2 Votes )

Find the area of

Answer :

Given:


x + y − 6 = 0 … (1)


x − 3y − 2 = 0 … (2)


5x − 3y + 2 = 0 … (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 = 5, y = 1


Thus, AB and BC intersect at B (5, 1).


Solving (1) and (3):


x = 2, y = 4


Thus, AB and CA intersect at A (2, 4).


Similarly, solving (2) and (3):


x = −1, y = −1


Thus, BC and CA intersect at C (−1, −1).


Area of triangle ABC =


Hence, area of triangle ABC is .


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