The task here involves calculating lengths and areas in the provided triangle diagram. Here’s a step-by-step outline of what needs to be calculated:

Given Information:

• AB = 14
• ∠CAB = 60°
• CE = 5 and ED = 7 (indicating segments along AB)
• The height from A to line CD is given as 18, which could be useful in calculating areas.

Questions to Answer:

1. Calculate Lengths of Segments:

   • $\overline{EF}$
   • $\overline{FD}$
   • $\overline{DB}$

2. Calculate Areas:

   • Area of quadrilateral ABCD
   • Area of triangle EFG

Would you like to confirm any of the information above, or should I proceed with the calculations?

Here are some questions to deepen understanding:

1. What formula is used to calculate the area of a triangle with a given angle and two sides?
2. How does breaking a line into segments help in finding unknown lengths?
3. What is the relationship between similar triangles and their side lengths?
4. How is the area of a quadrilateral calculated when the shape is not a simple rectangle?
5. How does knowing the height of a triangle assist in calculating its area?

Tip: When dealing with triangles, always check if they can be divided into smaller, similar triangles, which simplifies many calculations.