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# International Journal of Engineering Research and Development (IJERD)

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### International Journal of Engineering Research and Development (IJERD)

1. 1. International Journal of Engineering Research and Developmente-ISSN: 2278-067X, p-ISSN: 2278-800X, www.ijerd.comVolume 6, Issue 10 (April 2013), PP. 30-3530Invention of the plane geometrical formulae - Part IIMr. Satish M. KapleAsst. Teacher Mahatma Phule High School, Kherda Jalgaon (Jamod) - 443402 Dist- Buldana,Maharashtra (India)Abstract:- In this paper, I have invented the formulae for finding the area of an Isosceles triangle. Myfinding is based on pythagoras theorem.I. INTRODUCTIONA mathematician called Heron invented the formula for finding the area of a triangle, when all the threesides 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. Henceforth, We can find out the area of an equilateral triangle by using the formula of an equilateral triangle. Thesesome 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 withdoing teaching – learning process . Hence, I have invented the new formula for finding the area of an isoscelestriangle by using Pythagoras theorem. I used pythagoras theorem with geometrical figures and algebricequations for the invention of the new formula of the area of an isosceles triangle. I Proved it by usinggeometrical formulae & figures, 20 examples and 20 verifications (proofs). Here myself is giving you thesummary of the research of the plane geometrical formulae- Part IIII. METHODFirst taking an isosceles triangle ABCFig. No. -1Now taking a, a & b for the lengths of three sides of  ABCFig. No. – 2Draw perpendicular AD on BC.Fig. No. - 3