In ∆LMN, LX is the altitude (since it makes a 90° angle) and LY is a median (since it divides the base into two equal halves i.e., MY = NY).

To begin analyzing the problem with triangle $\Delta LMN$, we first need to clarify the definitions and roles of altitude and median in a triangle.

1. Understanding Triangles: In triangle geometry, an altitude is a perpendicular segment from a vertex to the line containing the opposite side. A median, on the other hand, is a segment joining a vertex to the midpoint of the opposite side.

2. Correlations: Since $LX$ is the altitude, it creates a right angle with side $MN$. Therefore, angle $LXM = 90^\circ$. $LY$ being a median means it divides side $MN$ into two equal segments, $MY$ and $NY$, where $MY = NY$.

3. Properties: Since both $LX$ and $LY$ are specific segments in triangle $LMN$, it implies that both will play roles in calculating area, centroid, or other geometric properties if needed.

In conclusion, triangle $\Delta LMN$ exhibits unique characteristics through $LX$ and $LY$, which may lead to further geometric explorations, such as calculating area or determining angle measures based on additional provided information. If any computations or further analysis are needed for specific dimensions or angles within triangle $LMN$, please provide those details for a deeper exploration.