Rationale: The Pythagorean theorem is a simple equation that is taught to students from the beginning of middle school. a2+b2=c2 is the basic formula for calculating any of the sides of a right triangle. Although we begin with basic reinforcement for the use of this theorem, the uses of this theorem increase as years of schooling are achieved. It is based on trigonometry and helps students solve problems with non-right angles by combining different mathematical methods. The Pythagorean theorem helps many architects, engineers and chemists in their respective careers. Through this exploration, I wanted to delve into the world of mathematics and see to what extremes mathematics can be interpreted by those who have the wealth to do so. Fermat's Last Theorem is a very complex and tortuous theorem that took many centuries to solve, with just one inquiring thought to start it all. One of the many proofs of the Pythagorean theorem. Pythagorean Theorem: Pythagoras was an ancient Greek mathematician who invented the equation a2+b2=c2 to demonstrate that the hypotenuse of a right triangle can be found by adding the squared values ​​of the two adjacent legs. Although there are numerous proofs to affirm the truth of this theorem, I have reported above a well-known one, used in basic school lessons for a clearer understanding of the equation. If you were to take the side lengths a and b and then square both values, you would arrive at squares that, when rearranged, would fit into the larger square of the hypotenuse. The Pythagorean Theorem is what led Fermat to think of his own theorem, as he had wondered if there could be more possibilities arising from this equation.Introduction:Pierre de Fe......middle of paper...... roj/pf2html/proofs/pythagoras/pythagoras/ (accessed 22 November 2013). Works Cited Frizzell, Roberto. Author interview. Personal interview. Edmonton, AB, Canada, November 19, 2013. Fermat's Last Theorem. Movies. Directed by Simon Singh. London: BBC, 1996. Lipovski, Aleksandar. "Visualization of some simple algebro-geometric ideas." Visualization of some simple algebro-geometric ideas. http://vismath2.tripod.com/lip/ (accessed November 22, 2013).Savant, Marilyn. "Pierre de Fermat and the Last Theorem." In The World's Most Famous Mathematics Problem: The Proof of Fermat's Last Theorem and Other Mathematical Mysteries. New York: St. Martin's Press, 1993. 20-31. Slany, Wolfgang. "A visual proof of the Pythagorean theorem." A visual proof of the Pythagorean theorem. http://www.dbai.tuwien.ac.at/proj/pf2html/proofs/pythagoras/pythagoras/ (accessed November 22, 2013).