Wednesday, August 24, 2011

Former US President James Garfield provided a unique proof of the Pythagorean Theorem

Derivation of Pythagorean Theorem

Pythagorean Theorem

In any right triangle, the sum of the square of the two perpendicular sides is equal to the square of the longest side. For a right triangle with legs measures  and  and length of hypotenuse , the theorem can be expressed in the form

Proved by Pythagoras

Area of the large square = Area of four triangles + Area of small square


Proved by Bhaskara


Bhaskara (1114 - 1185) was an Indian mathematician and astronomer.

Area of the large square = Area of four triangles + Area of inner (smaller) square






Proved by U.S. Pres. James Garfield

Area of trapezoid = Area of 3 triangles





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ilham 24 Aug, 2011


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