Discover the Power of Pythagorean Theorem for Calculating Length and Diameter of Geometric Shapes

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English

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.docx (0.2 MB)

The Pythagorean Theorem is a fundamental concept in geometry and is widely used in many real-world applications. It provides a means to find the length of a side or diameter of a right triangle given the lengths of the other two sides. In this article, we will discuss how to use the Pythagorean Theorem to find the length of a side or diameter of a right triangle.

The Pythagorean Theorem

The Pythagorean Theorem states that the sum of the squares of the two shorter sides of a right triangle is equal to the square of the length of the longest side, which is known as the hypotenuse. Mathematically, this can be represented as:

a² + b² = c²

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

Applying the Pythagorean Theorem

Let's say we have a right triangle with sides of length a = 3 and b = 4. We can use the Pythagorean Theorem to find the length of the hypotenuse, which would be:

c² = a² + b² = 3² + 4² = 9 + 16 = 25

c = √25 = 5

So, the length of the hypotenuse is 5.

Similarly, if we know the length of the hypotenuse and one of the shorter sides, we can use the Pythagorean Theorem to find the length of the other shorter side. For example, if we have a right triangle with hypotenuse of length c = 5 and one shorter side of length a = 3, then the length of the other shorter side, b, would be:

b² = c² - a² = 5² - 3² = 25 - 9 = 16

b = √16 = 4

So, the length of the other shorter side is 4.

Download our Pythagorean Theorem Template

Using the Pythagorean Theorem is a simple and effective way to find the length of a side or diameter of a right triangle. If you need to use it for your schoolwork, personal or professional projects, then download our Pythagorean Theorem Template in DOCX format today! Our easy-to-use template is pre-formatted and will help you quickly display the calculation with clarity.

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Gaye Rhodes(6/14/2023) - NZL

Very useful, glad to see it! *****

Author. Content was provided by:

Elizabeth Davis

Elizabeth is from the sunny desert city of Phoenix, Arizona. She is thrilled to connect with professionals and like-minded individuals who share a passion for social technologies, content creation, and the exciting possibilities that AI brings to the world of social media. Her hobbies are hiking, climbing, and horse riding. Elizabeth has a master's degree in Social Technologies that she received at the ASU (Arizona State University). As a freelancer, she mostly contributes content related to IT. This includes articles on templates and forms provided by our community.

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Last modified Monday, May 29, 2023