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Question

What is a theorem?


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Solution

Definition of theorem:

A theorem is a statement to be proved either on the basis of axioms or on the basis of previous proved statements.

Examples:

Pythagoras Theorem: In a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Basic proportionality theorem: If a line is drawn parallel to one side of a triangle to intersect the other sides in distinct points, the other two sides are divided in the same ratio.


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