Hi

Let (x-5),x, (x+10) represent the lengths of the pieces

Question states***

 (x-5)+    x +     (x+10) = 80in

shortest  medium  longest



Solving for x

   3x - 5 = 80in

      x = 25in

 20in, 25in and 35in the lengths of the pieces



CHECKING our Answer***

 20in + 25in + 35in = 80in 

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