Greek philosopher and mathematician Pythagoras lived around the year 500 BC and is known for his Pythagorean theorem relating to the three sides of a right angle triangle: a² + b² = c². Here is a way to prove it.
To find the area of this trapezoid, S=(1/2)(a+b)(a+b)=(1/2)(a+b)² and you can also add the three triangles together. S=(2)(1/2)ab+(1/2)c²
Set the to equations equal, and you will get a²+b²=c²
I have always wondered how they got the pythagorean equation. This makes so much sense.
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