Pythagorean Theorem Calculator

This calculator will find the length of a missing leg or hypotenuse of a right triangle. Please enter the length of the other two legs, and then click ‘Calculate’. [a² + b² = c²]

One of the mathematical theorems that is more widely known in the Pythagorean Theorem. Simply put, the Pythagorean Theorem allows you to calculate the length if the hypotenuse of a right triangle. In case you don’t know, the hypotenuse of a right triangle is the side of the triangle that is the side opposite the right angle. Even though this is a fairly simple theorem, you have always the option to use a Pythagorean Theorem Calculator.

The Pythagorean Theorem is also known as the hypotenuse formula.

In addition, it is also important to remember that a right angle has always 90 degrees as well as the sum of the other two angles must also total 90 degrees. So, simply put, the three angles inside the triangle need to measure 180 degrees.

Take a look at the most useful geometry calculators.

#1: What Is The Pythagorean Theorem?

The Pythagorean Theorem is an equation that relates the three sides of a particular right triangle. So, how can you calculate it?

According to the Pythagorean Theorem, the sum of the squares of the sides of a right triangle is always equal to the square of the hypotenuse. So, if you consider “a” and “b” as the sides of a right triangle, and “c” as the hypotenuse, the Pythagorean Theorem formula is the following:

a² + b² = c²

#2: Using A Pythagorean Theorem Calculator:

In order to use the Pythagorean Theorem Calculator that is at the top of this page, you just need to fill it with the values for the sides of the right triangle, meaning the “a” and “b”. As soon as you press the Calculate button, you will immediately get the value for the hypotenuse, or “c”, as well as this Pythagorean Theorem Calculator goes even beyond. The truth is that it will also tell you the area and perimeter of the right triangle in question, which can be very helpful to solve some math problems.

#3: How To Use The Pythagorean Theorem:

The more traditional math problems that ask you to use the Pythagorean Theorem, usually want you to discover the hypotenuse value.

So, let’s say that you already know the other sides of the right triangle, being a = 5, and b = 7. So, how can you discover the value of the hypotenuse or the leg using the Pythagorean Theorem?

According to the formula of the Pythagorean Theorem or the hypotenuse formula: a² + b² = c²

So, by replacing the values that you already have for each one of the sides, you’ll end up with:

5² + 7² = c²

By squaring each term, you get: 25 + 49 = c²

By combining similar terms, you get: 74 = c²

By taking the square root of both sides of the equation, you end up with: c = 8.6

However, another math problem that may be presented to you and that you’ll need to use the Pythagorean Theorem formula to solve it, is when you are given one of the sides of the right triangle and the hypotenuse, but not the second right side.

The truth is that the steps to solve it are very similar. You will need to isolate the variable that you want to find (either “a” or “b”) on one side of the equation, in order to determine its value.