MENELAUS' THEOREMS ON TRIANGLES AND THEIR NEW PROOFS

Authors

  • Masapayev Mansur Urinboyevich O‘zbekiston Respublikasi Mudofaa vazirligi“Jaloliddin Manguberdi” nomidagi harbiy akademik litsey matematika fani o‘qituvchisi
  • Iskandarov Behzod Qurol o‘g‘li
  • Umarov Umarbek G‘ayrat o‘g‘li

Keywords:

Menelaus' theorem, sine of an angle, similarity of a triangle, ratio of sections.

Abstract

This paper presents new and easy-to-learn proofs of Menalay's theorems. This theorem is the key to many complex problems. In schools, lyceums and specialized boarding schools, studying mathematics is necessary and has a very important place in preparing a student for the Olympiad. Triangular similarity and the theorem of sines were used to prove Menelaus' theorem.

References

A.S Yunusov, S.I Afonina, M.A Berdiqulov D.I.Yunusova “Qiziqarli matematika va olimpiada masalalari” O‘QITUVCHI Toshkent

Respuplika va viloyat olimpiada masalaridan 2020-2023.

A.A.A’zamov, B.Q.Haydarov, Matematika sayyorasi “O‘qituvchi”

T.A.Azlorov, M.A.Mirzoahmedov, Matematikadan qo‘llanma. O‘qituvchi Toshkent.

Sh.A.Ayupov, B.B.Rixsiyev, O.Sh.Qo‘chqorov Matematika olimpiada masalalari I va II qismlar “FAN” Toshkent.

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Published

2024-02-13