### Home > INT2 > Chapter 12 > Lesson 12.2.1 > Problem12-73

12-73.

Elias lives in a small town where his house and his school are on the same straight road $2$ miles apart.  Elias is biking to soccer practice on a Saturday after visiting his friend, who lives on the same road.  Elias is $3$ miles from the practice field at his school when he gets a text from his mom saying he left his cleats at home.  Write and solve an equation to determine the possible distances Elias is from his house.

Draw a picture of the situation. Where are all of the places on the road that Elias could be?

Where on the graph must Elias be?

Use the eTool below to create your equilateral triangles.
Click the link at right for the full version of the eTool: 12-73 HW eTool (Desmos)