In any triangle the semi perimeter is greater than each of its sides.

Answer

To prove that the semi-perimeter of a triangle is greater than each of its sides, we can follow these steps:

### Step 1: Define the semi-perimeter
Let the sides of the triangle be denoted as \( a \), \( b \), and \( c \). The semi-perimeter \( s \) of the triangle is defined as:
\[ s = \frac{a + b + c}{2} \]