In this chapter, we will discuss some typical shaded area problems in geometry which are frequently asked in various competitive and academic examinations. Area of the right angle triangle If…
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…
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…
Concepts of Inradius and Circumradius of a triangle (Right angle). Here is the formula for the length of the Inradius and Circumradius of a Right angle triangle, with proof. Inradius…
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,…