Ceva's Theorem, Trigonometric Form

Explanations 3

• Ceva's Theorem has multiple forms. One form is the standard one with a product of ratios of lengths equaling one. However, there is another lesser-known form as well: the trigon…

  By David Altizio, Moor Xu

• I recently came across with this post an hour ago. Here I would like to share my own method in proving the Trigonometric Ceva theorem. Let me start with a lemma. Lemma: Let ABCA…

  By Navi Nahc

• Problem. (ISL 2001 G1.) Let A1A_1A1​ be the center of the square inscribed in acute triangle ABCABCABC with two vertices of the square on side BCBCBC. Thus one of the two remain…

  By Ahaan Rungta