Pythagoras Theorem: Statement, Formula, Proof and applications.
Pythagoras Theorem Statement Pythagoras theorem states that “ In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides ”. The sides of this triangle have been named Perpendicular, Base and Hypotenuse. Here, the hypotenuse is the longest side, as it is opposite to the angle of 90°. The sides of a right triangle (say a, b and c) with positive integer values, when squared, are put into an equation called a Pythagorean theorem. Pythagoras Theorem Formula Consider the triangle given above: Where “a” is the perpendicular, “b” is the base, “c” is the hypotenuse. According to the definition, the Pythagoras Theorem formula is given as: Hypotenuse 2 = Perpendicular 2 + Base 2 c 2 = a 2 + b 2 Pythagoras Theorem Proof Given: A right-angled triangle ABC, right-angled at B. To Prove- AC 2 = AB 2 + BC 2 ...