Pythagorean Theorem.

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Presentation transcript:

Pythagorean Theorem

Law Of Pythagoras The area of the square on “AB” equals the sum of the areas of the squares on “AC” and “CB”. This is called the “ Law of Pythagoras” and is true for any right angled triangle. AB AC CB

Pythagorean Triples A Pythagorean Triple consists of three positive integers A, B and C. A triple is usually written in order such us 3(A), 4(B) and 5(C). The numbers below are 16 Pythagorean Triples lower than 100. ( 3, 4, 5) ( 5, 12, 13) ( 7, 24, 25) ( 8, 15, 17) ( 9, 40, 41) (11, 60, 61) (12, 35, 37) (13, 84, 85) (16, 63, 65) (20, 21, 29) (28, 45, 53) (33, 56, 65) (36, 77, 85) (39, 80, 89) (48, 55, 73) (65, 72, 97)

Step 1. 7x7=49 24x24=576 Step 2. 49+576= 625 Step 3. 625 square rooted = 25 For example if side A was 7 centimetres and side B was 24 centimetres, you would square 7 which is 49 and then, you would square 24 which is 576. Second, you would add 49 to 576 which is 625. To figure out side C you would have to figure out the square root of 625 which of course is 25! So you now know that side C is 25 centimetres! A=7 C=? B=24

Pythagoras of Samos Pythagoras of Samos was a Greek philosopher. Pythagoras was born on Samos, a Greek island. He quoted, “Number rules the universe”.

The basic idea: a squared + b squared = c squared