Definition :
Definition In any right triangle, the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares whose sides are the two legs (the two sides that meet at a right angle).
Slide 3:
Formula A²+ B²=C²
History :
History The history of the Pythagorean theorem can be divided as: knowledge of Pythagorean triples, the relationship among the sides of a right triangle and their adjacent angles, and the proofs of the theorem. Around 4000 years ago, the Babylonians and the Chinese were aware of the fact that a triangle with the sides of 3, 4 and 5 must be a right triangle. They used this concept to construct right angles and designed a right triangle by dividing a long string into twelve equal parts, such that one side of the triangle is three, the second side is four and the third side is five sections long.
Video Demonstration :
Video Demonstration http://www.youtube.com/watch?v=0HYHG3fuzvk
Real Life Problem :
Real Life Problem On a baseball diamond the bases are 90 ft apart. What is the distance from home plate to second base in a straight line?
Baseball Field :
Baseball Field Home Plate 2nd Base
Solution :
Solution a² + b² =c²90²+ 90²= c²16200 = c²127.279 = c127.279 is the distance from the home plate to the second base in a straight line.