### 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…

### Explanation of Pythagorean Theorem (Video)

TOPICS: Worked Examples Explanation Pythagorean Theorem Video In this video (at the end of the text) we have a clear, understandable explanation of the Pythagorean Theorem. It contains a visual explanation based on the geometric calculations that led Pythagoras to create his theorem, by discovering that the area of the…

### 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: Concept and Uses

TOPICS: Pythagorean Theorem Concepts     Uses of the Pythagorean Theorem   To really understand the Pythagorean Theorem we have to be clear on some concepts. For example, it only applies to right triangles; in other words, triangles that have a right angle. We also have to know what the names given…

### What Is the Pythagorean Theorem?

Before we talk about the definition of the Pythagorean Theorem, we should remember two basic ideas from mathematics and specifically geometry: The definition of a right triangle: in simple terms, a right triangle is a triangle that has one of its internal angles measuring 90°. The sides of a right…

### 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…