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# Inscribed Circle of a Triangle

This activity will help you meet these educational goals:

- Mathematical Practices—You will use appropriate tools strategically, look for and make use of structure, and look for and express regularity in repeated reasoning.
- Inquiry—You will perform an investigation in which you will collect information, make observations, analyze results, communicate your results in tables and written form, and draw conclusions.
- 21st Century Skills—You will employ online tools for research and analysis, assess and validate information, and communicate effectively.

**Directions**

Read the instructions for this self-checked activity. Type in response to each question, and check your answers.

**Activity**

You will use the GeoGebra geometry tool to construct the inscribed circle of a triangle. Go to triangles and circles, Copy and past into web browser **http://contentstore.ple.platoweb.com/content/GeoGebra.v5.0/B3.3_Triangles_and_Circles.html** and complete each step below.

**Question 1**

- Do a triangle
*ABC*of your choice. Using GeoGebra tools, construct the angle bisectors of ∠*A*and ∠*B*. Mark the intersection point of the angle bisectors, and label it point*D*. - Do a line through point
*D*perpendicular to AC¯ - .
- Find the intersection of line segment AC¯
- and the perpendicular line, and label it point
*E*. With point*D*as the center, do a circle passing through point*E*. - Measure and label the radius of the inscribed circle of Δ
*ABC*on the diagram. - Take a screenshot of your result, and paste it below.

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