Thank you for your patience! Let’s solve the problem based on the diagram you provided.

Problem Overview:

The figure shows a kite-like shape with two diagonals intersecting at $E$. The lengths of these diagonals are labeled as:

• $DE = 11$ (a part of one diagonal)
• $EC = 17$ (the other part of the same diagonal)

We need to find the full length of the diagonal $DC$.

Solution:

Since the points $D$, $E$, and $C$ lie on the same diagonal, the total length of diagonal $DC$ is: $DC = DE + EC$

Now, substituting the given lengths: $DC = 11 + 17 = 28$

Thus, the length of $DC$ is: $\boxed{28}$

Would you like a detailed explanation of any step? Or do you need help with another part of this figure?

Here are five follow-up questions you might explore:

1. What is the area of a kite if both diagonal lengths are known?
2. How do the properties of diagonals in a kite differ from those in other quadrilaterals?
3. Can this shape be classified as a rhombus? Why or why not?
4. What is the perimeter of the kite if all four side lengths are equal?
5. If $AB = AD$, can we find the side length using Pythagoras' theorem?

Tip: For kites, the diagonals always intersect at right angles, which is a key property used in geometry problems involving these shapes.