Discover the Correct Answer for Pythagorean Theorem | Length Tips

The Pythagorean Theorem is a fundamental concept in mathematics that has practical applications in fields ranging from construction to astronomy. It's a geometric principle that 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. The theorem is expressed in the formula:

c² = a² + b²

Where a and b are the lengths of the triangle's legs, and c is the length of its hypotenuse. Knowing this theorem can help you give the correct length of a side of a right triangle, or find answers to geometry problems that involve right triangles.

How to Use the Pythagorean Theorem

Using the Pythagorean Theorem to find the length of sides of a right triangle requires applying the formula and solving for the unknown variable. Here's an example:

Given a right triangle with legs of lengths 3 cm and 4 cm, what is the length of its hypotenuse?

To solve this problem, we simply plug in the lengths of the known sides into the Pythagorean formula:

c² = 3² + 4²

Then, we simplify:

c² = 9 + 16

c² = 25

Finally, we take the square root of both sides to give us the correct length:

c = √(25)

c = 5cm

Therefore, the length of the hypotenuse is 5 cm.

Download Our Pythagorean Theorem Document Template

The Pythagorean Theorem is an essential concept that every student of mathematics should understand. If you're looking for an easy-to-use, comprehensive guide to the theorem, BizzLibrary.com has you covered. We offer a downloadable Pythagorean Theorem document template in DOCX format that covers all the basics of the theorem, its history, and practical applications. With our resourceful document template, you can improve your knowledge of the Pythagorean Theorem and gain the confidence to solve any geometry problem like a pro.

Visit BizzLibrary.com now to get access to a wide range of valuable document templates that will help you succeed in your academic and professional pursuits.