If `a=9,b=4a n dc=8` then find the distance between the middle point of BC and the foot of the perpendicular form `Adot`

Explanation

To solve the problem step by step, we need to find the distance between the midpoint of BC and the foot of the perpendicular from A. Let's denote the points as follows:

- A = (0, 0) (the position of point A)
- B = (9, 0) (the position of point B, since a = 9)
- C = (4, 8) (the position of point C, since b = 4 and c = 8)

### Step 1: Find the midpoint D of BC
The coordinates of the midpoint D can be calculated using the midpoint formula:
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