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

> But hasn’t your body done a 360?

The interior angles of the triangle are not the same as the exterior angles. You are not turning 60 degrees left to follow each leg of the triangle, you are turning 120 degrees. Turning 120 degrees three times *is* 360 degrees.

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