Find a ruler (tool #1), but disregard its markings. You will not measure with it, just draw lines. Find a compass (tool #2) to draw circles. You will not use it to transfer distances or for measuring. Now you have all the tools that Euclid had to build an equilateral triangle.

Build your own equilateral triangle. Are you certain it is equilateral? You can prove it. Do not measure the lengths of its sides, but use what you know about the characteristics of circles to show the three sides are congruent, and therefore the triangle is equilateral.

Hint
Just play with the tools. Start drawing circles,
and try connecting different points of
intersection.

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