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

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)

If you missed this problem, review this video.

3)

If you missed this problem, review this example.

Simplify:

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