


Description 



Theorem: A theorem is a statement that has been proven to be true or proposed as a
demonstrable truth. 
A theorem consists of a conclusion depending on a hypothesis. It begins with certain assumptions that are
necessary and sufficient to establish a result.
One of the most famous and wellknown theorems in
mathematics is the Pythagorean Theorem. It states that in a right triangle, the square of the length of
the hypotenuse equals the sum of the squares of the lengths of the legs. Although the Babylonians may
have been aware of this statement because they were using its converse (If the square of the length of
the hypotenuse equals the sum of the squares of the lengths of the legs, then the triangle is a right
triangle) more than 1300 years before Pythagoras. Pythagoras (580496 B.C.), a Greek mathematician, was
the first to prove this statement, so it has become known as the Pythagorean Theorem.
AngleAngle
(AA), SideAngleSide (SAS), SideSideSide (SSS) similarity theorems and SideAngleSide (SAS),
SideSideSide (SSS), AngleAngleSide (AAS), AngleSideAngle (ASA) congruency thoerems are also among
the wellknown theorems in geometry.
One of the most famous unproved theorems is that "Twin Primes
occur infinitely." Twin primes are primes that are 2 integers apart (e.g., 5 & 7, 17 & 19, 101 & 103)
theorems is that "Twin Primes occur infinitely." Twin primes are primes that are
2 integers apart (e.g., 5 & 7, 17 & 19, 101 & 103).


