Geometry

Question Analysis  

Given a triangle with a perimeter of 42 and side lengths as consecutive integers, the task is to determine its area. First, find the side lengths using the perimeter, then apply Heron’s formula.  

 

Key Concept Explanation  

1. Consecutive Integers: Let the sides be , , .  

2. Heron’s Formula: , where  (semi-perimeter).  

 

Step-by-Step Solution  

1. Find side lengths:  

Set up the perimeter equation:  

  

Sides: ,

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