- Pythagoras, a Greek philosopher, discovered an important property of right triangles, which was also discovered independently by the Indian mathematician Baudhayan. - In a right triangle, the hypotenuse is the side opposite the right angle, and the other two sides are called the legs. - According to the Pythagorean theorem, for any right triangle, the square of the hypotenuse is equal to the sum of the squares of the legs. This theorem can be used to find the length of the third side of a right triangle if the other two sides are known.

2. To my presentation

4.  Pythagoras, a Greek
philosopher of sixth century
B.C.is said to have found a
very important and useful
property of right-angles
triangles.
 The indian mathematician
Baudhayan had also given
an equivalent form of this
property.

5.  In a right-angled triangle, the sides
have some special names
 The sides opposite to the right angle is
called the hypotenuse ;
 the other two sides are known as the legs
of the right-angled triangle.
A
C
B
A
CB

6. Pythagoras property is a very useful tool in mathematics. It is formally proved
as a theorem. It say that for any right-angled triangle ,the area of square on
the hypotenuse is equal to the sum of the area of the squares on the legs
Draw a right triangle, preferably on the square sheet ,construct squares on its
sides, compute the area of these squares and varify the theorem practically,

8.  If you have a right-angled triangle, the pythagoras property holds
If there is a triangle
such that sum of the
square on two of its
side is equal to the
square of third side, it
must be a right- angled
triangle.

9. A way to do…….
Triangle ABC is right angled at C , if AC = 5cm and BC
=12cm.find the length of AB. A
C
B
?
5 cm
12 cm
Solution……….
By Pythagoras property,
Or the length of AB is 13 cm.
AB²= AC²+BC²
= 5²+ 12² = 25 + 144 = 169 = 13²
AB² = 13². So, AB = 13

10. By :-
KUNAL YADAV