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The great mathamaticion (Ankit raj)
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- 2. • Famous as:-philosopherand mathematician • Nationality:-Greek • Born on:-570BC • Born in :-Samos, a little island of the western coast of Asia minor • Died on :-495BC • Place of death:-Metapontum ,Italy • Father :-Mnesarchus • Mother:- pythais
- 3. PYTHAGORAS •He was knownbest for the proof of the important Pythagoras theorem ,which is about the right angle.
- 4. PYTHAGORAS THEOREM • Pythagorastheorem is the sum of the area of the two square on the legs (A and B)equals the area of the square on the hypotenuse(c).
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- 6. This is thecritical geometrical figure that will help us to prove the Pythagoras theorem. •4 congruent or equal right triangles •The sort side of one triangle is “a” •The long side is “b” •The hypotenuse is “c” b a b a b a b c 2 a
- 7. • Area ofa triangle is {1/2 base height} • Area of right triangle is {1/2b h} • The length of one side of the square is “c” a b b a a b The length of one side of the big square is (a+b) Area of square is S = (a+b) b h c b a 2 2
- 8. • The areaof the big square is the key to this problem and it can be derived in 2 ways • Method 1:- area = (a+b) • Method 2:- add the area of the small square and the area of 4 right triangles:- Area= c+4(1/2ab) = c +2ab The result in both the methods are equal , which is 2 2 2
- 9. •Pythagoras had agreat impact on mathematics. His theories are still used in mathematics today. He was one of the greatest thinker of his time.
- 10. •There is notmuch information about his life. He was said to be have a good childhood . He is described as the first pure mathematician.
- 11. PRESENTED BY :-ANKI