# The Pythagorean Theorem: Euclidean Geometry

Period 7th Pythagorean Theorem

The Pythagorean Theorem also known as Pythagoras’s theorem is a relation in Euclidean geometry that are the tree sides of a right triangle. It’s the sum of the areas of the two squares on the legs equals the area of the square on the hypotenuse. The equation use for it is A squared plus B squared equals C squared.The Theorem relates the lengths of the three sides of any right triangle. The theorem is named after the ancient Greek. There is evidence that indicates that Pythagorean Theorem was well- known to the mathematicians of the first Babylonian Dynasty (20th to 16th centuries BC) which would have been over a thousand years before Pythagoras was born. People say that Pythagoras discovered the theorem at least fifteen hundred years before Pythagoras was born. But no one really knows when it was founded or discovered. The Pythagorean Theorem was known long before Pythagoras but he might have been the

*…show more content…*

But the formal definition is in a right angled triangle the square of the hypotenuse is equal to the sum of the squares of the other two sides. Its useful because if we know the lengths of the two sides of the right angled triangle then you could find the length of the third side but that only works on right angled triangles.

If anyone is going to use it then it would be a squared plus b squared equals c squared. The letter C is the longest side of the triangle and A, and B are the other two sides. The Pythagorean theorem is the statement that the sum of the two small squares equals the big one. The equation lets you to find the length of a side of a right triangle when they've given you the lengths for the other two sides, and going in the other direction, it lets you to determine if a triangle is a right triangle when they've given you the lengths for all three