Triangle Inequality in Triangle DEF

In triangle DEF, the lengths of sides DE and EF are 10 units and 24 units, respectively. The length of side DF is unknown. If the angle at vertex D measures $30^{\circ}$, what is the range of possible values for the length of side DF?

According to the triangle inequality theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Therefore, you will need to set up inequalities based on the lengths of the sides and the angle provided to find the valid range for side DF.