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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.

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