Here is the Proof of Routh’s Theorem to find the area of the triangle formed by pairwise intersections of three Cevians of the triangle. Find the ratio of the Areas…

Menelaus Theorem is named for Menelaus of Alexandria, a Greek mathematician, and astronomer. The internal and external division concepts of the triangle with proof are given below: In the given figure,…

Pedal Triangle Properties, theorems and their applications in Geometry. Geometry shortcuts and formulas with proof are given below: Pedal Triangle: The triangle, whose vertices are the feet of the perpendiculars…

Two quantities a & b are in the “Golden Ratio”, if (a+b): a =a: b, where a>b>0. It is represented by ‘๐ ‘. ๐ =(1+โ5)/2=1.618033988749โฆ. It is also known as the Divine…