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Construct a 60˚Angle by Constructing An Equilateral Triangle





 

In this lesson, we will learn

  • how to construct a 60 degrees angle.
  • how to construct an equilateral triangle.


We now construct a 60˚ angle by constructing an equilateral triangle. Recall that the angles in an equilateral triangle are 60˚.

Go through the steps below to construct an equilateral triangle. Pick any length for a side of the equilateral triangle.

Example :

Construct = 60˚.

Solution:

Step 1 : Mark the point B on the line.

Step 2 : Stretch the compasses to any width. Put the sharp end of the compasses at point B and draw an arc on the line. Label the point where the arc intersects the line as point C.


Step 3: While keeping the sharp end of the compasses at point B, move the compasses away from C and draw a second arc above the line about mid-way between points B and C.


Step 4: Without changing the width of the compasses, place the sharp end of the compasses at point C and draw an arc to intersect the second arc.


Step 5 : Draw a line from point B to the point of intersection of the 2 arcs. Label the angle 60˚.





The following video shows how to construct a 60 degree angle and an equilateral triangle.
This video shows how to construct a 60 degree angle using only a compass and straight edge.


 

Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.


You can use the free Mathway widget below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.


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