Step 1: Draw a line segment AB = 6cm.
Step 2: Construct an equilateral triangle by making an angle of 60° at A and B. The angles constructed will meet each other at point C.
Step 3:The angle bisectors are drawn for any two angles, say ∠A, ∠B
Step 4: The angle bisectors are extended to intersect each other at the point I which is the incentre of the circle.
Step 5: A perpendicular is drawn from I to any side of the triangle, say AB such that this perpendicular line meets the side at D .
Step 6: Using a compass, measure the distance DI and draw the circle which touches all three sides of the triangle.
Step 7: The obtained circle is the incircle of the given equilateral triangle.