perplexus.info :: Probability : Perpendiculars Picking Probability

Perpendiculars Picking Probability (Posted on 2005-11-24)

You choose a random point, uniformly, within an equilateral triangle.

What's the average distance to the three sides?

See The Solution Submitted by Old Original Oskar!

Rating: 3.8000 (5 votes)

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Answer

| Comment 5 of 6 |

The average distance to the sides is approximately 0.2887 times the side of the triangle.

Edited on October 3, 2008, 5:58 am

Posted by K Sengupta on 2008-10-03 02:42:58

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