Exercises of the Pythagorean Theorem

A couple of exercises to practice your skills:
http://www.mediafire.com/?sharekey=147f7fa5b66209996e7203eb87368129e04e75f6e8ebb871

Blbiography for Pythagorean Theorem Information

*Pythagorean Theorem.Cut The Knot. Found : June 9,2009, on: http://www.cut-the-knot.org/pythagoras/

*MORRET Ellen Gwen.The Pythagorean Theorem. Suite 101.com. Found: June 9,2009, on: http://middle-school-curriculum.suite101.com/article.cfm/the_pythagorean_theorem

*A Brief History of the Pythagorean Theorem. Geom. Found: June 9,2009, on :
http://www.geom.uiuc.edu/~demo5337/Group3/hist.html

More Information from the Pythagorean Theorem

http://math.about.com/od/pythagorean/Pythagorean_Theorem.htm

http://www.cut-the-knot.org/pythagoras/index.shtml

http://www.ies.co.jp/math/java/geo/pythagoras.html

Pythagorean Theorem Games

http://www.math-play.com/Pythagorean-Theorem-Game.html

http://glencoe.com/sec/math/t_resources/gamezone/pdfs/mac3_04/class_ch03.pdf

http://www.kidsnumbers.com/pythagorean-theorem-game.php

http://www.shodor.org/interactivate/activities/PythagoreanExplorer/?version=1.6.0_12&browser=MSIE&vendor=Sun_Microsystems_Inc

Pythagorean Theorem History

Who was the great man who invented it?

His name was Pythagoras(569-550 B.C.E). He was a Greek scholar who did alot of travelling, exploring, and learning. Although not much is known form his early years, what we DO know is that he founded a group specially dedicated to mathematics called Brotherhood of Pythagoreans.

http://students.umf.maine.edu/~michaur/MATHWEBQUEST/Pythagoras%20diagram.jpg

This group was very cult-like, due to that all their findings were to be kept secret. Although it is thought and believed that Pythagoras was the ACTUAL inventor, there is no real proof. Still, what we do know is that his group made alot of geometrical proofs.

Sadly, due to that all their findings were to be kept secret, it was not until 200 years later when a Greek mathematician called Eudoxus published all of their findings about this amazing theory and geometrical proofs.

The Pythagorean Theorem formula and daily uses

The Pythagorean Theorem formula is: a2+b2=c2. Which means that to find c we need to find the square root of a and b (the short legs of the right triangle), later add both square roots; and later find the square root of the sum.

http://www.votsalakia.net/images/Pythagorean-theorem.gif

For example: lets say that one short leg of a right triangle is 15cm (a) long and the other short leg is 20cm(b) long.
1.The first step to use it would be to find a and b´s square root which would equal: For A: 225, and for B: 400.
2.Later we would add both square roots: 400+225
3.We find the sum of the square roots: 625
4.We find the square root of the sum; which in this case would be 25.
5. At last we label the lenght of c with the correct unit, in this case the answer would be: that the lenght of c on on this right triangle would be 25cm.

Although this theorem may at first sound pretty boring, we actually use it every day.

Some of its daily uses are for example : finding the height of a building or the measurment of a TV.

As you may see, not only is the Pythagorean Theorem very interesting and fun; but it is very efficent on a daily basis.

What is the pythagorean theorem?

What is it?


The Pythagorean theorem is the theory that the square of the hypotenuse of a right angle triangle is equal to the squares of the other two sides. This may sound pretty complicated and intimidating, but actually it is much simpler than you think.

http://www.myastrologybook.com/PythagoreanTheorem16c.gif

The hypotenuse of a right triangle is the side of a right triangle opposite to the right angle. It is basically its long leg. What the Pythagorean Theorem states is that its length is the sum of the other two short legs of a right triangle.

A right triangle is a triangle with a right angle. It can also be called right angle triangle.