## Pythagorean Theorem

### The Pythagorean Theorem is a mathematical principle that relates to right triangles

The Pythagorean Theorem is a mathematical principle that relates to right triangles. It states that in a right 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.

To understand this better, let’s say we have a right triangle with side lengths a, b, and c, where c represents the length of the hypotenuse. The Pythagorean Theorem can be written as:

a^2 + b^2 = c^2

This theorem is named after the ancient Greek mathematician Pythagoras, who is credited with discovering and proving this relationship. It has important applications in various fields, especially in geometry and trigonometry.

The Pythagorean Theorem allows us to find missing side lengths or determine whether a triangle is a right triangle. For example, if we know the lengths of any two sides of a right triangle, we can use the theorem to find the length of the third side. Conversely, if we have a triangle with side lengths that satisfy the Pythagorean equation, we can conclude that it is a right triangle.

This theorem has many practical applications, such as calculating distances, determining angles, and solving problems related to right triangles in various real-life scenarios, including constructions, engineering, and architecture.

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