This relationship is useful because if two sides of a right triangle are known, the Pythagorean theorem can be used to determine the length of the third side. If you like Pythagorean Theorem Calculator, please consider adding a link to this tool by copy/paste the following code: Miniwebtool Pythagorean Theorem Calculator. The Pythagorean Theorem states that a²+b²=c² and can be used to find the length of the hypotenuse of a right triangle. Check out 15 similar triangle calculators , Other considerations when dealing with triangles, Input the two lengths that you have into the formula. All four sides 2. Using height, angles at the base and sides 4. Make sure to take a quick look at the hexagon calculator, too! We have included the method to show you how you can solve your problem if you prefer to do it by hand. Skip the support lines and receive priority one-on-one support from our customer service team. There are numerous other proofs ranging from algebraic and geometric proofs to proofs using differentials, but the above are two of the simplest versions. A Pythagorean triple is a set of 3 positive integers for sides a and b and hypotenuse c that satisfy the Pythagorean Theorem formula a 2 + b 2 = c 2 The smallest known Pythagorean triple is 3, 4, and 5. This can be accomplished by hand or by using our triangle calculator. Simply input the length of sides A and sides B and our calculator will calculate the length of side C according to the Pythagorean Theorem. Customizable. If you want to customize the colors, size, and more to better fit your site, then pricing starts at just $29.99 for a one time purchase. The sum of the area of these four triangles and the smaller square must equal the area of the larger square such that: In the second orientation shown in the figure, ii, the four copies of the same triangle are arranged such that they form an enclosed square with sides of length b - a, and area (b - a)2. You chose the *Basic version of the Pythagorean Theorem Calculator. The theorem is generally credited to the Greek mathematician Pythagoras though this is a debatable fact as many scholars believe this knowledge predated him. Pythagorean theorem was proven by an acient Greek named Pythagoras and says that for a right triangle with legs A and B, and hypothenuse C See this lesson on Pythagorean Theorem, animated proof See How to generate triples of sizes that are natural See In Depth Wikipedia article on Pythagorean theorem If you just wish to calculate the length of the hypotenuse, then try our hypotenuse calculator. Sometimes you may encounter a problem where two or all three side lengths missing. Click the "Customize" button above to learn more! Recall that a right triangle is a triangle with an angle measuring 90 degrees. We’ll send you an email report with contact information each time your calculator is used. ", "acceptedAnswer": { "@type": "Answer", "text": "

The Pythagorean theorem can be written as an equation relating the lengths of the sides a, b and c, often called the Pythagorean equation:

a<² + b² = c²

where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.