This appears to be a geometry problem involving triangles with proportional relationships. Let’s break it down and analyze the diagram step-by-step:

1. Triangles Identification:

   • There is a large triangle $\triangle FGH$, a smaller triangle $\triangle FTG$, and another smaller triangle $\triangle TGU$.
   • Key lengths are provided: $FG = 28$, $FH = 39$, $GH = 24$, and the segments $FU = 26$, $TU = 16$, and $TG = 14$.

2. Goals:

   • We likely need to use geometric relationships such as similar triangles or the Pythagorean theorem, depending on the question.
   • The smaller triangles may also involve proportional segments.

3. Next Steps: If you provide a specific question (e.g., finding an unknown side or verifying a relationship), I can proceed with a detailed solution.

Would you like to clarify the specific question about this figure?

Here are five questions you might consider:

1. Is $\triangle FTG$ similar to $\triangle FGH$?
2. Can the Pythagorean theorem be used to confirm any side lengths?
3. What is the relationship between the areas of the smaller triangles?
4. Are the heights of $\triangle FTG$ and $\triangle FGH$ proportional?
5. Is the segment $GU$ equal to the expected proportional length?

Tip: Always check for similar triangles by comparing corresponding angles and sides to establish proportionality.