Slide 2: The Pythagorean theorem: The sum of the areas of the two squares on the legs (a and b) equals the area of the square on the hypotenuse (c).
Real life uses : Real life uses Suppose you want to get from your house, located on the south-west corner of a field (rectangular shaped), to your friend's house, located in the north-east corner of the field. You can follow a road 4 miles East then 5 miles North for a total of 9 miles. You want to know how far it would be to get to your friend's house if you walked across the field. By Pythagoras's theorem you know the distance from your house to your friend's house is (4^2+5^2)=6 miles. So going across the field saves 3 miles.
Real life uses (continued) : Real life uses (continued) 4 miles 5 miles (4^2+5^2)=6 miles 6 miles
Hyperlink : Hyperlink Proof of the Pythagorean theorem.
Hyperlink : Hyperlink Demonstration of the Pythagorean theorem.
History : History The Pythagorean theorem takes its name from the ancient Greek mathematician Pythagoras (569 B.C. -500 B.C.), who was perhaps the first to offer a proof of the theorem, but people had noticed the special relationship between the sides of a right triangle long before Pythagoras.
History : History Pythagoras gained his famous status by founding a group, the Brotherhood of Pythagoreans, which was devoted to the study of mathematics.
Slide 9: The End