Ankit presents information about Pythagoras, a famous Greek philosopher and mathematician. Some key details include: - Pythagoras is known for proving the Pythagorean theorem, which states that for any right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. - The proof uses the concept that the area of a square on one side of a triangle equals the total area of the squares on the other two sides plus twice the area of the four right triangles formed. - Pythagoras had a great impact on the field of mathematics as his theories are still used today, and he was considered one of the greatest thinkers of his time.

1. Ankit

2. • Famous as:-philosopher and 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 known best for the proof of
the important Pythagoras theorem
,which is about the right angle.

4. PYTHAGORAS THEOREM
• Pythagoras theorem 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).

5. PYTHAGORAS THEOREM

6. This is the critical
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 of a 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 area of 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 a great impact on
mathematics. His theories are still used in
mathematics today. He was one of the
greatest thinker of his time.

10. •There is not much 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