Do you remember how to draw an equilateral triangle? Let’s use the fact that the three angles of an equilateral triangle are the same to draw one.
Step 1. Draw a circle with radius 1
Use a compass to draw a circle with radius 1. Choose a point B anywhere on the circle.
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[Figure 1. Draw a circle with radius 1]
Step 2. Draw a circle with radius 1 centered at a point on the circle
Draw a circle with radius 1 centered at point B.
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[Figure 2. Draw a circle with radius 1 centered at a point on the circle]
Step 3. Draw a circle with radius 1 centered at each intersection of the two circles
Each time you draw a circle, you will get an intersection. Draw a circle with radius 1 centered at each intersection. This will make a total of 7 circles, including the first one you drew.
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[Figure 3. Draw a circle with radius 1 centered at each intersection of the two circles]
Step 4. Connect three of the six intersections with line segments, skipping one
After drawing the circles, you will have 6 points on the first circle: B, C, D, E, F, and G. Starting from point B, connect point B and point D, skipping point C. Next, connect point D and point F, skipping point E. Finally, connect point F and point B, skipping point G.
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[Figure 4. Connect three of the six intersections with line segments, skipping one]
Step 5. Erase the 7 circles
After erasing the 6 circles, you will have an equilateral triangle.
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[Figure 5. The finished equilateral triangle]
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