Question 1193805
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XY  is the hypotenuse;


            the shorter leg is half the hypotenuse,  i.e.  " a ";


            the longer leg is    {{{a*sqrt(3)}}},


but from the given data we can not determine,  which one of the two legs is shorter,  and which is longer.



It is BECAUSE the problem posed INACCURATELY in your post.