Geometry

Question Analysis  

Given a triangle with a perimeter of 60 and side lengths as three consecutive integers, the task is to find its area. First, determine 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: