Question 1197886
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            This task is a trap to catch inattentive readers in it.

            Such a triangle,  as described in the post,  does not exist.



Indeed,  had it exist,  we could write the sine law


            {{{sin(A)/a}}} = {{{sin(B)/b}}}

  or

            {{{sin(62^o)/6}}} = {{{sin(B)/10}}}.


From this proportion,    sin(B) = {{{(10/6)*sin(62^o)}}} = {{{(10/6)*0.88294759285}}} = 1.471579321.


Since this value is greater than  1,  it creates a  CONTRADICTORY.



<U>ANSWER</U>.  &nbsp;&nbsp;Such a triangle as described in the post &nbsp;DOES &nbsp;NOT &nbsp;EXIST.



&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Solved.



Such a triangle &nbsp;DOES &nbsp;NOT &nbsp;EXIST.


&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Such a triangle &nbsp;DOES &nbsp;NOT &nbsp;EXIST.


&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Such a triangle &nbsp;DOES &nbsp;NOT &nbsp;EXIST.