To find the length of AB given the measurements of segments AC, AE, and AD, we first need to clarify the relationships between these segments. Assuming points A, C, E, and D are collinear or form a straight line, we can express the lengths of the segments as follows:
If we define:
- AC = 4
- AE = 7
- AD = 10
We can visualize these points on a line, with A as the starting point:
A----C----E----D | | | | 4 3 3 3
The length of segment AB can be calculated by considering the positions of points C, E, and D relative to A:
- From A to C is 4 units (AC).
- From C to E is 3 units (AE – AC = 7 – 4 = 3).
- From E to D is also 3 units (AD – AE = 10 – 7 = 3).
Now, to find the length of AB, we must first identify where point B lies. If we assume point B is at the end of segment AD, meaning AB = AD:
Then, AB = AD = 10.
Therefore, the length of AB is 10 units.