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Home Uncategorized

Midlines of Quadrilateral

in Uncategorized

Prof. Dr. Sead Rešić, Prof. Dr. Maid Omerović,
Anes Z. Hadžiomerović, Ahmed Palić
Bosnia and Herzegovina

https://doi.org/10.53656/math2021-3-5-mid

Abstract. In this section we deal with an interesting fact which will imply ABCD some well known theorems. Namely we prove that in a convex quadrilateral whose diagonals meet at O, the midline of the triangle ∆BOC parallel to BC, the midline of the triangle ∆AOD parallel to AD, and the midline of the quadrilateral ABCD connecting the sides AB and CD meet at one point, or are parallel.
Keywords: Ceva; Menelaus; Stewartes; cevian; concurrency; collinearity; Fermat; Torricelli

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