Pythagorean Theorem formula

If you've ever studied geometry, chances are you've come across the Pythagorean Theorem. This fundamental principle is named after the ancient Greek mathematician Pythagoras, who first discovered it. The Pythagorean Theorem is used to calculate the length of one side of a right triangle when the lengths of the other two sides are known. At BizzLibrary.com, we understand the importance of having a solid understanding of this theorem in your mathematical toolbox. That's why we've created a Pythagorean Theorem document template to help you solve those calculation problems with ease.

What is the Pythagorean Theorem?

Simply put, the Pythagorean Theorem states that in any right triangle, the sum of the squares of the lengths of the two shorter sides is equal to the square of the length of the longest side, or hypotenuse. This can be represented mathematically as:

a² + b² = c²

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

How to use the Pythagorean Theorem formula?

Using the Pythagorean Theorem is actually quite simple. Let's say you have a right triangle with one side measuring 3 units and another side measuring 4 units. To calculate the length of the hypotenuse, you would:

1. Identify which side is the hypotenuse (in this case, we don't know the value of the hypotenuse, so we call it c).
2. Plug the values of the other two sides into the formula: a² + b² = c²
3. Solve for c by taking the square root of the result. In this case, we get:
   3² + 4² = c²
   9 + 16 = c²
   25 = c²
   c = 5

Get Your Pythagorean Theorem formula worksheet here.

The Pythagorean Theorem is an essential tool for many mathematical applications, from basic geometry to advanced calculus. Whether you're a student or a professional, having a Pythagorean Theorem document template on hand can save you time and help eliminate errors in your calculations.

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