# 3 Ways to Draw an Equilateral Triangle

## Table of contents:

An equilateral triangle has three sides of equal size joined together by three identical angles. It can be a challenge to draw a perfectly equilateral triangle by hand. However, you can use a circular object to mark the shape's angles. Remember to use a ruler to keep your lines very straight! Read on to learn how to draw an equilateral triangle.

## Steps

### Method 1 of 3: Using a Compass

#### Step 1. Draw a straight line

Place the ruler on the paper, then run the pencil along the straight edge. This line segment will form one side of your equilateral triangle, meaning you must draw two more lines of identical size, each joined to the other at a 60° angle. It's important to have plenty of space to draw all three sides.

#### Step 2. Measure the line segment with your compass

Put a pencil in your compass and make sure it's sharp. Place the end of the compass on one end of the line segment and the end of the pencil on the other.

#### Step 3. Draw an arc corresponding to ¼ of the circle

Do not adjust the compass point and do not change the “width” between it and the pencil point. Run the pencil tip away from the line segment and form a semicircle.

#### Step 4. Change the measure to the side

Without changing the bar width, move the end to the other side.

#### Step 5. Draw a second arc

Carefully pass the tip of the compass pencil so that the new arc intersects with the one that was drawn earlier.

#### Step 6. Mark the point at which both arcs intersect

This will be the apex (the upper tip) of the triangle, which should be positioned exactly in the center of the line segment that was drawn. Now you can draw two straight lines that arrive at this point: one on each side of the lower line segment.

#### Step 7. Finish the triangle

Use a ruler to draw two more straight line segments: the remaining sides of the triangle. Join each end of the original line segment to the point where both arcs intersect, remembering to draw straight lines. Finally, erase the arcs drawn so that only the triangle remains.

• Consider drawing this triangle on another page. So you can start over, with a new form.
• If you need a larger or smaller triangle, repeat the process adjusting the length of the starting line segment. The longer the sides, the larger the triangle.

### Method 2 of 3: Using a Circular Based Object

If you don't have access to a compass or protractor, you can use a circular base object to draw the arc instead. Essentially, this method is identical to using a compass, but you should use it smartly.

#### Step 1. Choose your circular object

You can use almost any cylindrical object with a circular base, such as a bottle or bottle of liquid soap. Try using a roll of duct tape or CD. If you want to replace the arc of this object with the arc of a measure, you'll need to choose something of the proper size. In this method, each side of the equilateral triangle will be as long as the radius (half the diameter) of the circular object in question.

### If you want to use a CD as an object, imagine an equilateral triangle that fits within the upper-right quadrant of its surface

#### Step 2. Draw the first side

It must be identical in size to the radius of the circular object - halfway away. It is important that it is perfectly straight.

• If you have a ruler, just measure the object's diameter and draw a line half that size.
• If you don't have a ruler, place the circular object on a sheet of paper, then carefully draw its circumference with a pencil. Remove the object and finally you should have a perfect circle. Use a ruler to draw a line through the exact center of the circle: the point that is completely equidistant from any other point around its circumference.

#### Step 3. Use the circular object to draw an arc

Place the object over the line segment, with the edge of the circle resting on one end of the line. For greater accuracy, it is important that the line passes directly through the center of the circle. Use the pencil to make an arc approximately ¼ of the perimeter of the circle.

#### Step 4. Make another bow

Now move the circular object so that its edge touches the other end of the line segment. Such a segment must pass exactly through the center of the circle. Draw another arc that crosses the first at a point directly above the line segment. This point represents the apex of the triangle.

#### Step 5. Complete the triangle

Draw the remaining sides of the triangle: two straight lines that will join the apex to the two open ends of the line segment. Now you will have a perfectly equilateral triangle.

### Method 3 of 3: Using a Protractor

#### Step 1. Draw the first side

Use a ruler or the straight side of your protractor to make a line segment the size you want. This one will represent the first side of your triangle and each of the other sides will have the same measurement - remember to always draw them the right size.

#### Step 3. Make the second side

Draw another line segment with the same size as the first. Start at one end of the original seed, from which you will set the 60° angle. Starting from the vertex (point) of the angle, draw with the straight side of the protractor until reaching the next “point”.

#### Step 4. Finish the triangle

Use the straight side of your protractor to draw the final side of the triangle. Join the point at the end of the second line segment to the free end of the first. Now you will have an equilateral triangle.

## Tips

• The compass method is usually the most accurate as it does not rely on the precise measurement of each angle.
• Don't make the bar lines strong; you should keep them thin and light so that you can easily erase them later.
• Use a lockable compass to prevent unwanted changes to its width.