[tex]\begin{gathered} Let^{\prime}s\text{ the shortest side is }\Rightarrow x \\ The\text{ other length is }\Rightarrow2x \\ \text{The third side is }\Rightarrow26+x \\ \text{the perimeter is,} \\ P=x+2x+26+x \\ 194=4x+26 \\ 4x=194-26 \\ 4x=168 \\ x=42 \end{gathered}[/tex]
The shotest side is 42.
