# Invention of the plane geometrical formulae – Part I – Satish M. Kaple

Title: Invention of the plane geometrical formulae – Part  I

Author: Satish M. KapleAsst. Teacher

Institute: Mahatma Phule High School, Kherda, Jalgaon

Abstract: In this paper, I have invented the formulae of the height of the triangle. My findings are based on pythagoras theorem.

Introduction: A mathematician called Heron invented the formula for finding the area of a triangle, when all the three sides are known. From the three sides of a triangle, I have also invented the two new formulae of the height of the triangle by using pythagoras Theorem . Similarly, I have developed these new formulae for finding the area of a triangle.
When all the three sides are known, only we can find out the area of a triangle by using Heron’s formula.By my invention, it became not only possible to find the height of a triangle but also possible for finding the area of a triangle.
I used pythagoras theorem with geometrical figures and algebric equations for the invention of the two new formulae of the height of the triangle. I Proved it by using geometrical formulae & figures, 50 and more examples, 50 verifications (proofs).
Here myself is giving you the summary of the research of the plane geometrical formulae- Part I