Pythagorean Theorem

Pythagorean theorem is a fundamental principle in geometry that relates the lengths of the sides of a right angled triangle.  The theorem states that in a right angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

This relationship is widely used in various branches of mathematics and physics and is a foundational concept in trigonometry.  It has many practical applications, such as in navigation, engineering, and physics, whenever right angled triangles are involved.  It's important to note that the Pythagorean theorem only applies to right angled triangles.  If a triangle is not right angled, this theorem does not hold.

 

Pythagorean Theorem formula

\(\large{ c^2= a^2+b^2 }\)