In a `triangle` `ABC , AB = 2, BC =4 ,CA = 3`. If D is the mid-point of BC, then the correct statement(s) is/are

Options

A. `cosBne11/16`
B. `cosCne7/8`
C. `ADne2.4`
D. `AD^(2)=2.5`

Explanation

To solve the problem, we need to analyze the triangle \(ABC\) with the given sides \(AB = 2\), \(BC = 4\), and \(CA = 3\). We also need to find the midpoint \(D\) of side \(BC\) and evaluate the given statements.

### Step-by-Step Solution:

1. **Draw Triangle ABC**:
- Let \(A\), \(B\), and \(C\) be the vertices of the triangle.
- Place \(B\) at the origin \((0, 0)\) and \(C\) at \((4, 0)\) since \(BC = 4\).
- To find the coordinates of \(A\), we can use the distances from \(B\) and \(C\).
...