# Pythagorean Theorem Worksheet

**Pythagorean Theorem Worksheet** – A series of papers includes finding missing sides of right triangles, right triangle tests, and solving word problems using the Pythagorean Theorem.

Where a, b and c are the sides of a right triangle. Side c is the hypotenuse (longer side).

## Pythagorean Theorem Worksheet

The Pythagorean theorem states that in a right triangle (or right triangle), the sum of the squares of the two smallest sides of the triangle is equal to the hypotenuse.

#### Pythagorean Theorem & Definition With Worksheet

Here c is the hypotenuse (longest side) and a and b are the other sides of the right triangle.

This means that for any right triangle, the area of the orange square (which is the square made using the longest side) is equal to the area of the other two blue squares added together.

So, using Pythagoras, the sum of the least squares equals the hypotenuse.

### The Pythagorean Theorem Worksheets

In this example, we need to find the length of the base of the triangle given the other two sides.

A different set of units of measurement is used in triangles that are not drawn to scale.

These questions involve using the Pythagorean theorem to find out whether or not a triangle has a right angle (does a triangle have a right triangle).

## Solution: Pythagorean Theorem Worksheet With Answers

The questions below involve using the Pythagorean theorem to solve a series of word problems including ‘real life’ type questions.

On the first sheet, the measurements of the opposite sides are given, and only the hypotenuse can be found.

Here you will find a page that will help you understand some special properties of triangles, especially right triangles.

#### Pythagoras’ Theorem Interactive Worksheet

Here you will find a series of geometry worksheets that will help you answer many geometry questions.

The sheets also contain information about angles, types and properties of 2d and 3d shapes, and common formulas associated with 2d and 3d shapes.

Math Salamanders hopes you enjoy using these free math worksheets and all our other math games and resources.

## Skills Practice The Pythagorean Theorem And Its Converse Answers

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### Pythagoras’ Theorem Worksheet

Check out some of our most popular pages to see a variety of math activities and ideas you can use with your child

If you are a regular user of our site and appreciate what we do, please consider making a small donation to help with our expenses. The Pythagorean Theorem is a formula for finding the length of the missing side of a rectangle. To answer how to do the Pythagorean theorem, you need to understand the different sides of a rectangle. The side that transects the right angle is called the hypotenuse. Sides adjacent to right angles are called feet. The formula of the Pythagorean theorem states that the hypotenuse is equal to the sum of the square feet. You can use the Pythagorean theorem to find both the missing hypotenuse and the length of the missing leg.

Related Topics: Transversal Parallel Lines, Angle Sums of Triangles, Exterior Angles of a Triangle, Volume of a Cylinder, Volume of a Cone, Volume of a Sphere

### Unit 3: Pythagorean Theorem

The Pythagorean theorem is a method for finding the length of the missing side of a triangle. To answer how to do the Pythagorean theorem, you must first find the unique location of a right triangle. The side opposite the right angle is called the hypotenuse. Sides adjacent to right angles are called feet. The equation of the Pythagorean theorem states that the square of the hypotenuse is equal to the sum of both legs. You can use the Pythagorean theorem to find both the missing hypotenuse and the length of the missing leg.

Watch our free video on how to do the Pythagorean theorem. This video shows you how to solve the problems on our free Pythagoras theorem worksheet, which you can get by entering your email above.

This video is about the Pythagorean Theorem and we are in our Pythagorean Theorem worksheet to show you some examples.

### Right Angles And The Pythagorean Theorem

Our Pythagorean theorem worksheet has directions for finding the lengths of the missing sides. We have our triangle here number one and we have two sides that were given to us, we just found this side that was given to us. As for these two sides, they are both adjacent to the right angle, now all the sides adjacent to the right angle are called legs. It is a leg, and then a leg crosses this at right angles called a hypotenuse. When we do our Pythagorean theorem, it is categorical and B squared equals C.

In this example you can say or indeed in all examples a will always be a leg. We have a square leg and B will always be a leg This is equivalent to the hypotenuse and the other square leg. This will always be A or B, this will always be A or B, this will always be C no matter what. In our example here we say a is 10. We substitute 10 for a. 10 goes in there and we say B is 24. We substitute 24 for B, then C we don’t know we just eliminate C because C is square. Now to simplify what we’re going to do we’re going to square 10 and then we’re going to square 24. 10 times 10 or 10 squared is 100 and then 24 times 24 is 576, and then here there we have C squared and we will have C squared. The next step is to add these two together, which obviously equals 676 C, and the last step is to subtract this square from here. We have the square of C, we need to remove 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 of the side so whatever you do on one side you have to do on the other side, so we’re going to do the square root of that side. The square root and the square root cancel out and you’re left with just C and then the square root of 676 on that side is 26. The answer to the length of our missing side is 26.

Let’s move on to our next problem Our next problem is a little different because instead of the hypotenuse we’re missing a leg. If you are searching, the first thing you need 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, so the side here has to be the hypotenuse. angle In terms of labels, our triangle looks like this. For this Pythagorean theorem we know that a leg must be A and B and the hypotenuse must be C. When we do our Pythagorean theorem this time we know that the square of B squared is equal to C squared, but this time we know. a is 35. That’s 35 squared and we don’t know B this time, so we’ll put it as B squared, but we know C is 37. It’s going to be 37 squared. The next step is to square 35. 35 times 35 is 1225 and we don’t know the square of B so we’re going to square B, then 37 squared is 1,000 369. Then the next step to solve this is subtract 1225 from in 1369 which canceled this out. Square that side and then 1369 minus 1225 144. Then the last step you have to solve is to take the square root of the opposite square of the square of something you want to subtract. We take the square root of both sides ending in the square root of 144, which is 12. The answer to the length of our missing side in this problem is 12.

## Pythagoras Worksheet Year 9

Join thousands of other education experts and get the latest education tips and tricks delivered to your inbox. The definition of the Pythagorean theorem is that the sum of the squares of the sides of a right triangle is equal to the hypotenuse. . It is important for students studying mathematics

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