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A triangle ABC is formed by three lines x+y+2=0,x-2y+5=0 and 7x+y-10=0. P is a point inside the triangle ABC such that areas of the triangles PAB,PBC and PCA are equal. If the co-ordinates of the point P are (a,b) and the area of the triangle ABC is ‘g’​, then find (a+b+g). [P.S. The answer to this question is supposed to be 15.Just tell me how.]

A triangle ABC is formed by three lines x+y+2=0,x-2y+5=0 and 7x+y-10=0. P is a point inside the triangle ABC such that areas of the triangles PAB,PBC and PCA are equal. If the co-ordinates of the point P are (a,b) and the area of the triangle ABC is ‘g’​, then find (a+b+g).
 
[P.S. The answer to this question is supposed to be 15.Just tell me how.]

Grade:10

1 Answers

Saurabh Koranglekar
askIITians Faculty 10335 Points
4 years ago

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