Theorem: A Proven Statement.
Postulate: An Accepted Statement without Proof.
They mean similar things. A postulate is an unproven statement that is considered to be true; however a theorem is simply a statement that may be true or false, but only considered to be true if it has been proven.
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Axioms are statements that cannot be proven: they are usually basic, self-evident and form the starting points of a logical structure. Postulates are statements (or propositions) that appear to be reasonable but have yet to be proven. Theorems are statements that have been proven.
An axiom is a statement which is self-apparently true. It cannot be proved.
A postulate is a statement which someone believes to be true. Normally it should be possible to prove or disprove it but that has not yet been done.
They both are statements that cannot or have not been proven yet, but cannot be proven wrong. They are used as facts would be used to prove other things.
A postulate is a proposition that has yet to be proved. A theorem has been proved.
A postulate is a statement that is assumed or believed to be true but it may turn out not to be. A theorem has been proven to be true, based on axioms.
Well, this will depend on the length of the sides of the triangle for what postulate or theorem you will be using.
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An axiom is a basic mathematical truth used in proofs, outlined initially by Euclid. Axioms are self-evident and do not need to be proven, they can be combined and used logically to prove more complex mathematical concepts, especially in geometry. Example: "The shortest distance between two points is a straight line."
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The Criminal Code of Canada postulates criminal activity and justice in general. One postulate involves that of sentencing. One can find more information about this topic from Wikipedia.