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.]

Question

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.]

Saurabh Koranglekar · Answer

Dear student Please find the link attached https://www.askiitians.com/forums/Analytical-Geometry/a-triangle-abc-is-formed-by-three-lines-x-y-2-0-x_160125.htm Regards

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