1. The problem states that the areas with base AD are 4, 5, and 1. 2. To analyze this, we need to understand how area relates to base and height in geometry. 3. The formula for the area of a triangle is $$\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}$$. 4. Given the base AD, the areas 4, 5, and 1 correspond to different heights. 5. We can find each height by rearranging the formula: $$\text{height} = \frac{2 \times \text{Area}}{\text{base}}$$. 6. Without the length of base AD, we cannot compute exact heights, but the relationship shows how areas relate to base and height. 7. If you provide the length of AD or more context, we can proceed further.