To find the length of side \( c \) using the Law of Sines, we need to have some more information. The Law of Sines states:
\[ \frac{a}{\sin(A)} = \frac{b}{\sin(B)} = \frac{c}{\sin(C)} \]
Currently, we know \( \angle A = 72^\circ \) and side \( a = 1,246 \) mm. However, we need either angle \( B \) or angle \( C \) or side \( b \) to proceed with the calculation.
Assuming you meant to provide another angle (say \( B \)) or another side, please provide that information so I can help you find the length of side \( c \).
If you have that information, I can proceed with calculations for you!