XYZ and ABC are similar triangles. Thus, the ratio of the concurrent sides will be the same.
[tex]\frac{XZ}{AC}=\frac{XY}{AB}[/tex]
Substitute values in the above expression.
[tex]\begin{gathered} \frac{m}{7}=\frac{49}{23} \\ m=\frac{49}{23}\times7 \\ m=\frac{343}{23} \\ m=14.91 \end{gathered}[/tex]
Thus, the length of side m is 14.91 .
