NEW AND VERY EASY PROOFS OF MENELAUS' THEOREMS ON TRIANGLES
Keywords:
Menelaus' theorem, angle, sine of an angle, similarity of a triangle, ratio of sections, median, equality of ratiosAbstract
This paper presents a new and easy-to-learn proof of Menalay's theorems. This theorem is the key to many complex problems. Studying mathematics in schools, lyceums and specialized boarding schools is necessary and plays a very important role in preparing a student for the Olympiad. Triangle similarity and the theorem of sines were used to prove Menelaus' theorem. My main goal in this article is to provide a broader and more understandable explanation of the results and proofs of Menelaus' theorem. It is also about sharing easy proofs for those who love mathematics.
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