Equilateral triangles with $3$ vertex in a regular hexagon












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The problem is: What is the probability of making an inscribed equilateral triangle, taking $3$ vertex of a regular hexagon?.



I think the answer is $1/10$ but i don't know how to do it with combinatorics.










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    The problem is: What is the probability of making an inscribed equilateral triangle, taking $3$ vertex of a regular hexagon?.



    I think the answer is $1/10$ but i don't know how to do it with combinatorics.










    share|cite|improve this question

























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      The problem is: What is the probability of making an inscribed equilateral triangle, taking $3$ vertex of a regular hexagon?.



      I think the answer is $1/10$ but i don't know how to do it with combinatorics.










      share|cite|improve this question













      The problem is: What is the probability of making an inscribed equilateral triangle, taking $3$ vertex of a regular hexagon?.



      I think the answer is $1/10$ but i don't know how to do it with combinatorics.







      combinatorics






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      asked Nov 27 '18 at 16:38









      Rodrigo Pizarro

      834217




      834217






















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          HINT



          In a regular hexagon $ABCDEF$, you pick 3 vertices (order is not important). If you pick $ACE$ or $BDF$, you end up with equilateral triangle you desire.




          • How many total vertex selections are possible?

          • What is the probability of getting the desired result?






          share|cite|improve this answer





















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            1 Answer
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            active

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            1 Answer
            1






            active

            oldest

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            active

            oldest

            votes






            active

            oldest

            votes









            1














            HINT



            In a regular hexagon $ABCDEF$, you pick 3 vertices (order is not important). If you pick $ACE$ or $BDF$, you end up with equilateral triangle you desire.




            • How many total vertex selections are possible?

            • What is the probability of getting the desired result?






            share|cite|improve this answer


























              1














              HINT



              In a regular hexagon $ABCDEF$, you pick 3 vertices (order is not important). If you pick $ACE$ or $BDF$, you end up with equilateral triangle you desire.




              • How many total vertex selections are possible?

              • What is the probability of getting the desired result?






              share|cite|improve this answer
























                1












                1








                1






                HINT



                In a regular hexagon $ABCDEF$, you pick 3 vertices (order is not important). If you pick $ACE$ or $BDF$, you end up with equilateral triangle you desire.




                • How many total vertex selections are possible?

                • What is the probability of getting the desired result?






                share|cite|improve this answer












                HINT



                In a regular hexagon $ABCDEF$, you pick 3 vertices (order is not important). If you pick $ACE$ or $BDF$, you end up with equilateral triangle you desire.




                • How many total vertex selections are possible?

                • What is the probability of getting the desired result?







                share|cite|improve this answer












                share|cite|improve this answer



                share|cite|improve this answer










                answered Nov 27 '18 at 16:49









                gt6989b

                33k22452




                33k22452






























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