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**gundanium** Let A, B, C be three points on a plane and O be the origin point on this plane. Put

$\displaystyle \vec{a} = \vec{OA} $

$\displaystyle \vec{ b} = \vec{OB}$

and

$\displaystyle \vec{c} = \vec{OC } $

P is a point inside the triangle ABC. Suppose that the rato of the areas of$\displaystyle \Delta PAB, \Delta PBC, \Delta PCA$ is 2:3 :5 respectively

(1) The straight line BP intersects the side AC at point Q

How do I even start with this? Can i assume the triangle to be a right triangle so that things might be easier?