Everything you need to know about the Pythagorean Theorem formula is provided below. Please proceed to read the whole document carefully to understand the topic completely.

## Pythagorean Theorem Formula

A basic connection in Euclidean geometry, the Pythagorean theorem, sometimes known as Pythagoras’ theorem, may be found in the field of mathematics. Using the hypotenuse as an example, it shows that the sum of squares on the other two sides is equal to the hypotenuse’s square. This means that the area of the square whose side is the hypotenuse is equal to that amount.

The Pythagorean Theorem is considered to be one of the most basic theorems in mathematics. Its purpose is to establish the connection that exists between the three sides of a triangle with a right angle. You are already familiar with the characteristics of a right-angled triangle as well as its description. It is the triangle in which one of the angles is a right angle, which has a degree measurement of 90. The term “hypotenuse” refers to the side of the triangle that is perpendicular to the angle that makes up 90 degrees. The term “legs of the triangle” refers to the other two sides of the triangle that are next to the right angle.

Using the Pythagorean theorem, one may prove that the hypotenuse is equal to the sum of the squares of the other two sides. This theorem is also known as the Pythagorean theorem. Alternately, the square that makes up the hypotenuse of a right triangle is equal to the sum of the squares that make up its two legs.

Formula of this is Hypotenuse2 = Perpendicular2 + Base2

### Example:

**Question:** Hypotenuse of a right-angled triangle is 13 cm and one is 5 cm, find the third side.

**Solution:**

Given,

H=13cm

A=5cm

H2=A2+B2

132=52+B2

B2=169-25

B2=144

B=12cm