Pythagorean theorem:

Pythagorean theorem:

Introduction:

Let us learn about Pythagorean theorem,
Pythagorean theorem states that square on the hypotenuse of a right angled triangle is equal to the sum of the squares on the other sides.Consider the right angle triangle, a and b are the two smaller sides and c is the hypotenuse, so if we square a and b and add the both value we get the same answer as if we square c (c²)

This theorem can also be written as an equation relating the lengths of the sides a, b and c : where c represents the length of the hypotenuse, and a and b represent the lengths of the other two sides.In the figure given above we can see the AC is called a Hypotenuse of the triangle and AB is called the opposite side of the triangle and BC is called the adjacent side of the triangle. This is the Pythagorean Theorem. It generally frames as

(Hypotenuse) ²= (Opposite side) ² + (Adjacent side) ²

Now that we have learned about the meaning of the pythagorean theorem let us also look at a few examples of thePythagorean Theorem,

Let a = 3 cm, b = 4 cm and c = 5cm.

By Pythagorean Theorem,

Thus 32+ 42= 9 +16 = 25 = 52

In a triangle ABC, AB = 5 cm, BC = 3 cm and AC = 4 cm

Examples 2:

Let a = 2.5 cm, b = 6 cm and c = 6.5cm

By Pythagorean Theorem,

Thus (2.5)2+ 62= 6.25 +36 = (6.5)2

In a triangle ABC, AB = 2.5 cm, BC = 6 cm and AC = 6.5 cm.

Hope you like the above example of Pythagorean Theorem.Please leave your comments, if you have any doubts.