In `DeltaABC`, if `angleB lt angleA` then

Options

A. `BC lt CA`
B. `BC lt CA`
C. `BC gt AB+CA`
D. `AB lt CA`

Answer

To solve the problem, we need to analyze the relationship between the angles and the sides of triangle ABC.

### Step-by-Step Solution:

1. **Identify the Given Information**: We are given that in triangle ABC, angle B is less than angle A (i.e., angle B < angle A).

2. **Understanding the Relationship**: According to the properties of triangles, the side opposite to a larger angle is longer than the side opposite to a smaller angle. This means that if angle A is greater than angle B, then the side opposite angle A must be greater than the side opposite angle B.

3. **Label the Sides**: In triangle ABC:
- Let side AC be opposite angle B.
- Let side BC be opposite angle A.
- Let side AB be opposite angle C.

4. **Apply the Triangle Inequality**: Since angle A > angle B, we can conclude:
- Side BC (opposite angle A) > Side AC (opposite angle B).

5. **Conclusion**: Therefore, we can conclude that:
- **BC > AC**.

### Final Statement:
If angle B < angle A in triangle ABC, then the side opposite angle A (which is side BC) is greater than the side opposite angle B (which is side AC).