Pythagorean Theorem Worksheet Sample

The Pythagorean Theorem is one of the most important theorems in mathematics. It states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. This theorem can be written algebraically as a² + b² = c², where a and b represent the lengths of the two legs of the triangle, and c represents the length of the hypotenuse.

How to Use the Pythagorean Theorem

The Pythagorean Theorem is useful in many real-world situations. For example, if you know the length of two sides of a right triangle, you can use the theorem to find the length of the missing side. Here's an example:

You are building a ramp for a wheelchair, and you want to determine the length of the ramp required. The ramp needs to reach a height of 2 feet, and it needs to extend out 4 feet from the building. What is the length of the ramp required?

First, you need to draw a diagram of the ramp's structure, which should form a right triangle with legs that represent the height (2 feet) and the extension (4 feet).

Next, you can use the Pythagorean Theorem to solve for the length of the ramp (c). You know that:

• One leg (a) is 2 feet long
• The other leg (b) is 4 feet long

You can plug in these values into the theorem formula and solve for c:

c² = a² + b²

c² = 2² + 4²

c² = 4 + 16

c² = 20

c = sqrt(20)

c ≈ 4.47

Therefore, the length of the ramp required is approximately 4.47 feet.

Get Your Pythagorean Theorem Calculator

Don't struggle with calculating the missing length of a side in a right triangle. Download our Pythagorean Theorem calculator in DOCX format today and make your calculations a breeze. It's a convenient tool for math students, engineers, architects, and more.

Visit BizzLibrary.com now to access a wide range of document templates, including math formulas, conversion charts, and more. Download our Pythagorean Theorem calculator today and facilitate your mathematical analysis with ease!