Pythagorean Theorem

State Pythagoras Theorem.

Pythagoras theorem states that, the square of the hypotenuse is equal to the sum of the sides of the perpendicular and base. It can be written as:

c² = a² + b²

Who invented Pythagoras Theorem?

Greek mathematician and philosopher Pythagoras of Samos (commonly known as Pythagoras) is credited with the invention of Pythagoras’ Theorem. Scientists also found inscriptions of the same theorem in the ruins of ancient Egypt and Babylon, but their use of the theorem was not widely publicized until Pythagoras stated it. 

What is Pythagoras Theorem Formula?

Pythagorean theorem formula is: a² + b² = c² , where “a” and “b” represent the lengths of the two shorter sides of the right triangle and “c” represents the “hypotenuse.”

What is Converse of Pythagoras Theorem?

The converse of Pythagoras theorem states that if the square of the length of the longest side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle.

Can we apply Pythagoras Theorem to any triangle?

No, we can apply the Pythagoras theorem to the right-angled triangles only.

What are applications of Pythagoras Theorem?

Applications of the Pythagoras theorem are in various fields:

• Architecture and navigation site.
• In order to calculate the surface area and volume, etc.

Pythagorean theorem states that in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. The theorem can be expressed as r² = p² + q², where ‘r’ is the hypotenuse and ‘p’ and ‘q’ are the two legs often called perpendicular and base of the triangle.

Pythagoras Theorem explains the relationship between the three sides of a right-angled triangle and helps us find the length of a missing side if the other two sides are known. It is also known as the Pythagorean theorem.

In this article, we will learn about the Pythagoras theorem statement, its formula, proof, examples, applications, and converse of Pythagoras theorem in detail.