# Construct an Inscribed Equilateral Triangle

- Author:
- Crystal Vest

- Topic:
- Constructions

*Drawings*of geometric figures are created using measuring tools such as a ruler and protractor.

__Constructions__are methods of creating these figures without the benefit of measuring tools. Generally, only a pencil, straightedge, and compass are used in constructions.

*Sketches*are created without the use of any of these tools. Construction Steps

*A compass can be used to create two equal segments, a copy, instead of using a ruler to measure.*

**Step 1:**Use the "Circle: Center and Radius" button to draw a circle with center A. Click to create center A and drag to create the radius of the circle. Release your mouse when your circle is as large as you like.

**Step 2:**Use the "Point on Object" button to create a point on circle A. Right-click on the point and select "Show Label" and label it point B.

**Step 3:**Select the "compass" (circle) button.

__Choose points A and B__to define the size of the circle which also represents the length of the line.

__Then, choose (select) point B__to direct the program to create a circle with center point B, also known as Circle B, or ⊙B.

**Step 4:**Using the "Intersect" button, create the points of intersection between circle A and circle B by selecting circle A and circle B.

**Step 5:**Select the "compass" (circle) button.

__Choose points B and D__to define the size of the circle which also represents the length of the line.

__Then, choose (select) point D__to direct the program to create a circle with center point D.

**Step 6:**Using the "Intersect" button, create the points of intersection between circle A and circle D by selecting circle A and circle D.

**Step 7:**Select the "compass" (circle) button.

__Choose points D and E__to define the size of the circle which also represents the length of the line.

__Then, choose (select) point E__to direct the program to create a circle with center point E.

**Step 8:**Using the "Intersect" button, create the points of intersection between circle A and circle E by selecting circle A and circle E.

**Step 9:**Select the "compass" (circle) button.

__Choose points E and H__to define the size of the circle which also represents the length of the line.

__Then, choose (select) point H__to direct the program to create a circle with center point H.

**Step 10:**Using the "Intersect" button, create the points of intersection between circle A and circle H by selecting circle A and circle H.

**Step 11:**Using the "Segment" button, connect every other point on circle A to create an equilateral triangle.

**Step 12:**Use the "distance or length" tool to measure the length of the three segments of your triangle by selecting each one. The measurements should be equal.

**Step 13:**Use the "ABC" tool to

__write your name__

**Step 14:**Take a screen shot of your work below.