Constructing an equilateral triangle

Constructing an equilateral triangle also known as drawing an equilateral triangle using only a straightedge and a compass is what I will show you here

Step #1:

Take your ruler and a pencil and construct a segment of any length on a piece of paper as shown below

Constructing an equilateral triangle: step 1


Then, you will try to set your compass opening to match the length of segment AB

Take your compass. Make your sure that the pencil is included in it.

Put the needle of the compass at endpoint A and adjust your compass so that the tip of your pencil touches endpoint B

Step #2:

Put the needle of your compass at A and draw an arc


Constructing an equilateral triangle: step 2


Put the needle of your compass at B and draw an arc


Constructing an equilateral triangle: step 3


The two arcs should meet as shown below:


Constructing an equilateral triangle: step 4


Step #3:

Draw the segments from the two endpoints to the point where the two arcs intersect


Constructing an equilateral triangle: step 5


Related topics:

Constructing an isosceles triangle

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