1. Draw a sketch of the polygon: It is an irregular convex pentagon.

2. A pentagon has 5 diagonals. The length of two of the 5 diagonals is obvious:

|AD| = 4 and |CE| = 6

3. The distance between the points and is calculated by:

4. The length of AC:

5. The last two diagonals are calculated in just the same way. Good luck!