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# Download the Free Printable Pythagorean Theorem Worksheet

Get the free Pythagorean Theorem Worksheet and other resources for teaching & understanding solving the Pythagorean Theorem

## Here’s how to do Pythagorean Theorem

The Pythagorean Theorem is a formula for finding a missing side length of a right triangle. In order to answer how to do the Pythagorean Theorem you must understand the different sides of a right triangle. The side that is located across from the right angle is called the hypotenuse. The sides that are adjacent to the right angle are called the legs. The formula for the Pythagorean Theorem says that the hypotenuse squared is equal to the sum of the two legs squared. You can use the Pythagorean Theorem to find both a missing hypotenuse or a missing leg length.

Common Core Standard: 8.G.7

## The answer to: What is the Pythagorean Theorem?

The Pythagorean Theorem is a way for finding a missing side length of a triangle. To answer how to do the Pythagorean Theorem you should first find the distinctive sides of a correct triangle. The side that is opposite the right angle is known as the hypotenuse. The sides that are next to the right angle are known as the legs. The equation for the Pythagorean Theorem says that the hypotenuse squared is equivalent to the whole of the two legs squared. You can utilize the Pythagorean Theorem to discover both a missing hypotenuse or a missing leg length.

## 5 Steps for easily solving Pythagorean Theorem Problems

1. The Pythagorean Theorem is the leg square plus the leg squared equals the hypotenuse square.
2. The legs are the sides that are touching the right angle.
3. The hypotenuse is the side that is across from the right angle.
4. You can use the two side lengths that you know to substitute into the Pythagorean Theorem.
5. Take the square root of the remaining side length to solve for the missing side.

## Pythagorean Theorem Practice Problems Quiz

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Pythagorean Theorem Quiz

Click Start to begin the practice quiz!

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Find the missing sign length using the Pythagorean Theorem.

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Find the missing sign length using the Pythagorean Theorem.

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Find the missing sign length using the Pythagorean Theorem.

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Find the missing sign length using the Pythagorean Theorem.

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Find the missing sign length using the Pythagorean Theorem.

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## Watch the video where we complete our Pythagorean Theorem Worksheet

Watch our free video on how to do Pythagorean Theorem. This video shows how to solve problems that are on our free Pythagorean Theorem worksheet that you can get by submitting your email above.

Watch the free Pythagorean Theorem video on YouTube here: Pythagorean Theorem Worksheet

Video Transcript:

This video is about the Pythagorean theorem and we are using the pythagorean theorem worksheet to show you a few pythagorean theorem examples.

The directions on our pythagorean theorem practice worksheet say to find the missing side length. We have our triangle here at number one and we have two sides that are given to us, we have this side that’s given to us on this side that’s given to us now. In the case of these two sides they are both adjacent to the right angle, now all sides that are adjacent to the right angle are known as legs. That’s a leg and then this over here is a leg the side across from the right angle is known as the hypotenuse. When we do our Pythagorean theorem which is a squared plus B squared equals C squared.

In the case of this example you could say or really in the case of all examples a is always going to be a leg. We’ll have a leg squared and then B is always going to be a leg  this would be the other leg squared is equal to the hypotenuse squared. This will always be either A or B and this will always be either A or B and this will always be C no matter what. In the case of our example here we’re gonna say that a is 10. We’re gonna substitute in a are 10 for a. 10 goes in there and we’re going to say that B is 24. We’re going to substitute in 24 for B and then C we don’t know  we’re going to just leave C as it is C squared. Now in order to simplify what we’re going to do is we’re going to do 10 squared and then we’re going to do 24 squared. 10 times 10 or 10 squared is 100 and then 24 times 24 is 576 and then over here we have C squared and we just that is C squared. Then the next step is to add these two together which obviously will be 676 equals C squared and then the final step is to get rid of this square here. We have C squared we have to get rid of that and we’re going to take the square root because the opposite of squaring something is taking the square root. We’re going to do the square root on the side whatever you do to one side you have to do the other so we’re also going to do the square root on this side on this side. The square and the square root cancel and you’re left with just C and then on this side the square root of 676 is 26. The answer to our missing side length is 26.

We’re going to move on to our next problem our next problem is a little bit different because we are missing a leg instead of the hypotenuse. Here is an example from our pythagorean theorem missing side worksheet. If you look the first thing you might want to do is label the sides of this triangle. In the case of this triangle we have a leg here because it’s adjacent to the right angle and then we have a leg here because it’s adjacent to the right angle and then this side over here has to be the hypotenuse because it is across from the right angle.  This is how our triangle is in terms of labeling and we will have to solve the pythagorean theorem missing leg. This for the Pythagorean theorem we know that a leg has to be a and B and the hypotenuse has to be C. When we set up our Pythagorean theorem this time we know that it’s a squared plus B squared equals C squared but this time we know a is 35. It’s 35 squared and we don’t know B this time so we’ll just leave it as B squared but we do know C which is 37. It’ll be 37 squared the next step is to square 35. 35 times 35 is 1225 plus B squared we just leave as B squared because we don’t know and then 37 squared is 1,000 369. Then the next step to solve this is to subtract 1225 from 1369 these will cancel you bring down your b squared on this side and then 1369 minus 1225 is 144. Then the last step that you have to solve is you have to get rid of this square the opposite of squaring something is taking the square root. We’re going to take the square root of both sides you end up with the square root of 144 which is 12. The answer to our missing side length in this problem is 12. You can try the practice practice problems by downloading the free pythagorean theorem worksheets above.

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