Math is something to understand not to learn…….

To my presentation

PYTHAGORAS THEROEM

Pythagoras, a Greek philosopher of sixth century B.C.is said to have found a very important and useful property of right-angles triangles.

Pythagoras

The indian mathematician Baudhayan had also given an equivalent form of this property.

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

CB

A

CB

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 legsDraw a right triangle, preferably on the square sheet ,construct squares on its sides, compute the area of these squares and varify the theorem practically,

This is Pythagoras property

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.

A way to do…….Triangle ABC is right angled at C , if AC = 5cm and BC =12cm.find the length of AB. A

CB

?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

Thank you !!!

By :-KUNAL YADAV