# Chapter 2: Applying the Pythagorean Theorem

Difficulty Level:

**At Grade**Created by: CK-12

The Pythagorean Theorem is useful in a variety of mathematical situations because it can be applied to solve many different types of problems. As we have seen, the most basic application of the theorem is finding the length of one side of a right triangle when the lengths of the other two sides are known. In this chapter, we’ll expand on other applications of the theorem.

Chapter Outline

- 2.1.
## Pythagorean Triples

- 2.2.
## Area of an Isosceles Triangle

- 2.3.
## Side Lengths of Shapes other than Triangles

- 2.4.
## Finding Distances on a Coordinate Grid

- 2.5.
## The Distance Formula

- 2.6.
## The 30-60-90 Triangle

- 2.7.
## The 45-45-90 Triangle

- 2.8.
## Converse Pythagorean Theorem

- 2.9.
## Determining Right, Acute, or Obtuse Triangles

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In this chapter, various applications of the Pythagorean Theorem are explored. Topics include finding the areas and perimeters of various shapes, calculating distances between points, special triangles, and the Converse Pythagorean Theorem.

Difficulty Level:

At Grade
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Date Created:

Jul 25, 2013
Last Modified:

Jan 14, 2016
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