Final answer:
We cannot calculate the perimeter of △KHC based on the information given. The question lacks sufficient geometric context or relationships between the given segments and △KHC.
Step-by-step explanation:
The student is asking to find the perimeter of △KHC given some algebraic expressions that represent segments in the figure. Unfortunately, without additional geometric context or relationships, it is not possible to determine the perimeter of △KHC solely from the given expressions KH=5y-2, DR=6y-5, TD=4y+3, and RT=30.
To solve for the perimeter, we would need to know the specific relationships between these segments and how they relate to △KHC. If △KHC is part of a larger diagram involving segments KH, DR, TD, and RT, we would need to know how these segments interact with △KHC. For example, if KH is a side of △KHC, we could use it as part of the perimeter calculation. Without this necessary information, we cannot provide a solution to the question about the perimeter of △KHC.
The references to geometry, distances, right triangles, and congruent triangles suggest that these concepts could be relevant if complete information about the diagram and the relationships between the segments were provided.