# Theorem

### Pythagorean Theorem Application Problems

TOPICS: Solutions Pythagoras Problems Solved Exercises Pythagorean Theorem Problems In the previous post we gave you various worked examples about the Pythagorean Theorem where our goal was to calculate one of the sides of a right triangle (hypotenuse or leg) knowing the measurements of the other two sides. Now we’re…

### Pythagorean Theorem

The Pythagorean Theorem is one of the great advances in mathematics, a theory developed by Pythagoras and the group who followed him, known as Pythagoreans. The popularity of the Pythagorean Theorem is unmatched and today is considered one of the fundamental formulas in geometry and mathematics in general. The simplicity…

### Pythagorean Theorem Proof Using Water

TOPICS: Pythagorean Theorem Areas     Pythagorean Theorem Proofs Side of Right Triangle     Pythagorean Theorem Video As we have mentioned several times on this site, there are many proofs of the Pythagorean Theorem, but few are as visual and clear as the one we are going to look at now. This is…

### Formula of the Pythagorean Theorem

TOPICS: Right Angle     Leg     Legs     Pythagoras Formula     Hypotenuse     Right Triangle   Next we’re going to look at the formula of the Pythagorean Theorem, because of all the knowledge that Pythagoras left us regarding the proportions of the sides of a right triangle, without a doubt the most important is the…

### Pythagorean Theorem Proof (Euclid)

TOPICS: Euclid’s Proof     Theorem Proof     Prove Theorem Euclid was a Greek mathematician and geometrician who lived from 325 to 265 BC and who formulated one of the most famous and simplest proofs about the Pythagorean Theorem. What Euclid demonstrated was that the area of the square that has the hypotenuse…

### Pythagorean Theorem: Formula

The Pythagorean Theorem is comprised of a fairly simple formula that only requires us to know some basic concepts of right triangles and the theory behind exponents in order to have all the necessary knowledge for its application. The formula of the Pythagorean Theorem can be expressed symbolically in the…

### Definition of the Pythagorean Theorem

Although the Pythagorean Theorem was discovered many, many years ago, we continue to be surprised that even today there are more and more diverse fields that require, in one way or another, knowledge of this theorem. Pythagoras was a philosopher and mathematician in ancient Greece and among his many discoveries…

### Proof of the Pythagorean Theorem

If we want to understand how the Pythagorean Theorem works, we have to understand certain mathematical concepts that are related to it and without which it would be complicated or even impossible to understand the proof of the Pythagorean Theorem. Among the main points to keep in mind before understanding…

### Pythagorean Theorem Exercises

Many of us have trouble with math and it takes us a little more effort to get the trick and be able to solve math problems. The level of difficulty increases while we find ourselves with a lower level of basic education, which is why analyzing solved exercises can help…

### Pythagorean Theorem Proofs

The most well-known and widely used proof of the Pythagorean Theorem is the one which relates the areas of the squares that have, as their sides, the two legs and the hypotenuse of the triangle. We have referenced this proof in an older post where we have also provided a…