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Triangle DEF is an equilateral triangle with a side length of 3. A point P is chosen at random within triangle DEF. What is the probability that the length DP is at most 1?

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 Dec 14, 2019
 #1
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Using geometric probability, the probability is pi/9.

 Dec 14, 2019
 #2
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That sounds like bs

Guest Dec 14, 2019
 #3
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I have not checked my working but I got     \(\frac{2\sqrt3 \;\pi}{81}\)

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 Dec 14, 2019

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