These two propositions are usually proved by the help of the Pythagorean theorem.
The name is applied by the French to the Pythagorean theorem.
This is not available at this time, however, because the Pythagorean theorem has not been proved.
The Pythagorean theorem, as it is generally called, has had other names.
In fact, without the concept of the square root, not even the Pythagorean theorem can be fully grasped.
|Pythagorean theorem |
A theorem stating that the square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the lengths of the other sides. It is mathematically stated as c2 = a2 + b2, where c is the length of the hypotenuse and a and b the lengths of the other two sides.
The theorem in geometry that, in a triangle with one right angle, usually called a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
Note: The theorem is often expressed a2 + b2 = c2.
Note: The simplest whole number expression of this theorem is called the 3, 4, 5 triangle. In a right triangle, if one side measures three units, and the second side measures four units, the hypotenuse must measure five units because 32 + 42 = 52; that is, 9 + 16 = 25.