`B(OH)_(3)` is acidic while `In(OH)_(3)` is basic.
`B_(OH)_(3)` has highly H-bonded network structure.

Explanation

To answer the question regarding the acidity of \( B(OH)_3 \) and the basicity of \( In(OH)_3 \), as well as the structure of \( B(OH)_3 \), we can break it down into two parts.

### Step 1: Understanding the Acidity of \( B(OH)_3 \)

1. **Identify the Nature of Boron**: Boron is a non-metal and belongs to group 13 of the periodic table.
2. **Acidic Nature of Non-metal Hydroxides**: Non-metal hydroxides, such as boron hydroxide, tend to be acidic. This is because they can donate protons (H⁺) in solution.
3. **Conclusion for Statement A**: Therefore, \( B(OH)_3 \) is acidic.

### Step 2: Understanding the Basicity of \( In(OH)_3 \)

1. **Identify the Nature of Indium**: Indium is a metal and also belongs to group 13.
2. **Basic Nature of Metal Hydroxides**: Metal hydroxides are generally basic because they can release hydroxide ions (OH⁻) in solution.
3. **Conclusion for Statement A**: Thus, \( In(OH)_3 \) is basic.

### Step 3: Analyzing the Structure of \( B(OH)_3 \)

1. **Structure of \( B(OH)_3 \)**: The structure of boric acid \( B(OH)_3 \) consists of planar borate units \( BO_3^{3-} \).
2. **Hydrogen Bonding**: These borate units are connected by hydrogen bonds, which are strong but not covalent. This creates a layered structure.
3. **Weak Forces Between Layers**: The layers are held together by weaker forces, allowing them to slide over each other, which contributes to the softness of boric acid.
4. **Conclusion for Statement B**: Therefore, the statement that \( B(OH)_3 \) has a highly hydrogen-bonded network structure is incorrect; it has a layered structure due to weaker forces between layers.

### Final Summary

- Statement A is correct: \( B(OH)_3 \) is acidic, and \( In(OH)_3 \) is basic.
- Statement B is incorrect: \( B(OH)_3 \) has a layered structure with weaker forces, not a highly hydrogen-bonded network structure.

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