What is Theorem in Mathematics    

In mathematics a theorem is a statement, that has been proved to be true on basis of facts that were already known and used in previously established statements. 

The process of showing a theorem to be (true) correct is called proof. proofs are an important part of mathematics.

Example:

A Pythagoras Theorem is one of the most well known theorem in mathematics.  
This theorem explains that, In a right angle triangle, square of lengths of hypotenuse is equal to the sum of squares of the lengths of other two sides. 

Or in a right triangle the sum of the squares of the two legs is equal to the square of the hypotenuse. 

We add together the square of the length of two sides, we get square of third side.

Two sides are base and perpendicular and third side is hypotenuse.

“Pythagoras Theorem”  proved that,

 (hypotenuse)2  = (Base)2  +  (Perpendicular)2

        a2    =      b2 + c2

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