To determine how many different triangles are possible with a perimeter of 12 cm and integer side lengths, we need to consider the properties of triangles and the given conditions. ### Explanation for Option 2: 1. Triangle Inequality Theorem: For any triangle with sides \(a\), \(b\), and \(c\), the sum of the lengths of any two sides must be greater than the length of the third side. This means: -…Read More