Example 3

Construct equilateral triangle inscribed in circle using Method 1. Use the given segment as the radius for circle . Note: Drag the blue points to try different line segments.

1. Construct circle .
2. Locate vertices and of the equilateral triangle.
3. Locate the third vertex of the equilateral triangle.
4. Construct the sides of the triangle. Do not erase any of your markings. Triangle is an equilateral triangle inscribed in circle with the given radius.

This applet is provided by Walch Education as supplemental material for their mathematics programs. Visit www.walch.com for more information on their resources.