Circling a Triangle?

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I’m having trouble wrapping my head around this one:

You start from a given set point, and walk one mile in a straight line, then turn 60 degrees to the left. You then walk another mile in a straight line, and then turn 60 degrees to the left. Finally, you walk another mile, and finish with a 60 degree turn to the left. You are now back at your start point, facing the way you started. Then angles add up to a triangle, 180 degrees. But hasn’t your body done a 360?

In: Mathematics

7 Answers

Anonymous 0 Comments

You are actually turning 120° each time

Take a stick and then align it with the edge of your triangle, and then rotate it around the corner, you turn it a full 120°

If you only make 60° turns, you end up making a hexagon

The exterior angles of a polygon always add to 360°

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