Home
#### Algebra and Pre-Algebra Lessons

Algebra 1 | Pre-Algebra | Practice Tests | Algebra Readiness Test
#### Algebra E-Course and Homework Information

Algebra E-course Info | Log In to Algebra E-course | Homework Calculator
#### Formulas and Cheat Sheets

Formulas | Algebra Cheat Sheets

Home » Quadratic Equations » Pythagorean Theorem

# Pythagorean Theorem

## The Pythagorean Theorem

## Example 1

## Example 2

This man, is Pythagoras. He was one of the first Greek Mathematicians. He discovered an amazing property of the **right triangle** that we all now know and love as the **Pythagorean Theorem**.

This theorem is well known in Algebra and we study it in our Quadratics unit because we are working with squared terms. Take a look.

In any **right triangle**, the sum of the squares of the legs (2 shorter sides) is equal to the square of the hypotenuse (the longest side).

Please Note: This theorem **ONLY** works for **Right Triangles**.

Let's start by taking a look at an example where we need to find the hypotenuse.

In a right triangle, the length of one leg is 6 cm and the length of the other leg is the square root of 13 cm. Find the length of the hypotenuse.

Now let's look at an example of a problem where we are asked to find the length of a leg of a right triangle.

**A ladder that is 16.5 feet tall is placed against the side of a tree. The base of the tree to the top of the ladder is a distance of 14 feet. How far is the ladder placed away from the base of the tree?**

If word problems confuse you, the best thing you can do is **draw a picture!**

Are you ready to try one?

**1. One leg of a right triangle is 18 inches long. The hypotenuse is 24 inches long. Find the length of the other leg**.

Great Job! Now you are ready to continue your exploration of quadratic equations.

Sign Up for Algebra Class E-courses

Click here to retrieve a lost password.

Custom Search

- FREE Solving Equations E-course
- Algebra Class E-course
- Algebra Class Products
- Algebra Practice Test
- Algebra Readiness Test
- Homework Answer Calculator
- Practice Worksheets

- Site Map
- Pre-algebra Refresher
- Solving Equations
- Graphing Equations
- Writing Equations
- Systems of Equations
- Inequalities
- Functions
- Exponents & Monomials
- Polynomials
- Quadratic Equations
- Algebra 1 Final Exam
- Square Roots and Radicals

- SAT Online Course
- Algebra Cheat Sheets - Very Popular!!
- Algebra Formulas
- Online Resources
- Contact Me
- I Want to Hear From You!
- Algebra Blog
- About Me

Copyright © 2009-2015 Karin Hutchinson ALL RIGHTS RESERVED

## Comments

We would love to hear what you have to say about this page!