Please help me with this question. ABC is a triangle. D, E and F are points on BC, AC and AB such that AD, BE and CF are concurrent. Show that lines parallel to AD, BE and CF from the midpoints BC, AC and AB are also concurrent.(adsbygoogle = window.adsbygoogle || []).push({});

What I have been taught is the Stewart's theorem (for three collinear points A, B and C and any point P, AP^2*BC + BP^2*CA + CP^2*AB AB*BC*CA = 0), Meanaleuas theorem (a line joining three sides of a triangle divides it in such a way that the product of the ratio of their division is 1 and the sign is negative in vector notations) and Cava's theorem (the lines joining the vertices of a triangle meets the opposite side in such a way that the product of the ratio is 1). Wherever ratios are mentioned they are taken in the cyclic form like-AD/DB * BE/EC * AF/FC and not in the way - AD/BD * BE/CE * AF/CF. I am also expected to know the standard rules of parallel lines and intercepts while solving the question.

Can you help me from this knowledge?

(i am sorry if moderators feel homework should not be submitted here)

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# Homework Help: Help me

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