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Triangle XYZ is equilateral, with O  as its center. A point P is chosen at random, inside the triangle. Find the probability that point P is closer to point  O than to any of the vertices. (In other words, find the probability OP that  is shorter than  XP,YP  and ZP)

 Jun 25, 2022
 #1
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The probability is 4/9.

 Jun 25, 2022
 #2
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See my answer here : https://web2.0calc.com/questions/help_77088

 

Or see Melody's method here :https://web2.0calc.com/questions/let-xyz-be-an-equilateral-triangle-centered-at-o

 

cool cool cool

 Jun 25, 2022
edited by CPhill  Jun 25, 2022

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