# Introduction to Using Properties of Angles, Triangles, and the Pythagorean Theorem

## What you'll learn to do: Use properties of angles, triangles, and the Pythagorean Theorem to solve problems

Note the many individual shapes in this building.

We are surrounded by all sorts of geometry. Architects use geometry to design buildings. Artists create vivid images out of colorful geometric shapes. Street signs, automobiles, and product packaging all take advantage of geometric properties. In this module, we will begin by considering a formal approach to solving problems and use it to solve a variety of common problems, including making decisions about money. Then we will explore geometry and relate it to everyday situations using the problem-solving strategy we develop.
Before you get started in this module, try a few practice problems and review prior concepts.
### readiness quiz

1) Solve: [latex]x+3+6=11[/latex] Solution: [latex]x=2[/latex] 2) [ohm_question]146811[/ohm_question] If you missed this problem, review this video. https://youtu.be/pXvzpSU4DyU 3) [ohm_question]146636[/ohm_question] If you missed this problem, review this example.
Simplify:
[latex-display]\sqrt{25+144}[/latex-display]

Answer:

Use the order of operations. | |

[latex]\sqrt{25+144}[/latex] | |

Add under the radical sign. | [latex]\sqrt{169}[/latex] |

Simplify. | [latex]13[/latex] |

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## Licenses & Attributions

### CC licensed content, Shared previously

- Glass canopy at the Liege-Guillemins railway station, designed by Santiago Calatrava.
**Authored by:**Bert Kaufmann.**Located at:**https://www.flickr.com/photos/22746515@N02/5377120535/.**License:**CC BY: Attribution. - Ex: Solve a Proportion by Clearing Fractions (x/a=b/c, Whole Num Solution).
**Authored by:**James Sousa (Mathispower4u.com).**License:**CC BY: Attribution. - Question ID: 146636, 146811.
**Authored by:**Lumen Learning.**License:**CC BY: Attribution.**License terms:**IMathAS Community License CC-BY + GPL.

### CC licensed content, Specific attribution

- Prealgebra.
**Provided by:**OpenStax**License:**CC BY: Attribution.**License terms:**Download for free at http://cnx.org/contents/[email protected].