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

Title: Invention of the plane geometrical formulae – Part  II

Author: Satish M. Kaple , Asst. Teacher

Institute: Mahatma Phule High School, Kherda, Jalgaon

Abstract: In this paper, I have invented the formulae for finding the area of an Isosceles triangle. My finding is 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. Similarly, when the base and the height are given, then we can find out the area of a triangle. When one angle of a triangle is a right angle, then we can also find out the area of a right angled triangle. Hence forth, We can find out the area of an equilateral triangle by using the formula of an equilateral triangle. These some formulae for finding the areas of a triangles are not exist only but including in educational curriculum also.

But, In educational curriculum. I don’t appeared the formula for finding the area of an isosceles triangle with doing teaching – learning process . Hence, I have invented the new formula for finding the area of an isosceles triangle by using Pythagoras theorem.
I used pythagoras theorem with geometrical figures and algebric equations for the invention of the new formula of the area of an isosceles triangle. I Proved it by using geometrical formulae & figures, 20 examples and 20 verifications (proofs).
Here myself is giving you the summary of the research of the plane geometrical formulae- Part II