Question 1166324
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Solve this equation

    20x + 10 = 13x + 66

and find x = {{{(66-10)/(20-13)}}} = 8.


Now evaluate the length of each side


    AB = 20*8 + 10 = 170 

    BC = AB        = 170

    AC = 25*8      = 200.


The triangle inequalities are satisfied, so the triangle does exist.


<U>ANSWER</U>.  The side lengths are 170, 170 and 200.
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Solved.


I went all this way / (all the steps) with you to show you that every step is necessary, especially checking the triangle inequalities at the end.