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 ‘𝞅‘. 𝞅=(1+√5)/2=1.618033988749…. It is also known as the Divine…

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,…

The centers of a triangle – Incenter, Circumcenter, Centroid, Orthocenter, and Excenter – are fundamental to the study of geometry. Each of these centers has a unique location and set…

Some very useful Trigonometry formulas and Identities with proof are given here. Here we would also discuss some of the very important practical applications of these formulas in real life…