`M` is point on side `BC` of a triangle `Delta ABC` such that `AM` is the bisector of `angleBAC`. Is it true to say that perimeter of the triangle is greater than `2` `AM` ? Give reason for your answer ?

Explanation

To determine whether the perimeter of triangle ABC is greater than 2AM, where M is a point on side BC and AM is the angle bisector of angle BAC, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding the Triangle and Angle Bisector**:
- We have triangle ABC with point M on side BC.
- AM is the angle bisector of angle BAC, which means that angle BAM = angle CAM.

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