Geometry

Question Analysis  

Given a triangle with a perimeter of 24 and side lengths as consecutive integers, the goal is to find its area. First, determine the side lengths using the perimeter, then apply Heron’s formula.  

 

Key Concept Explanation  

1. Consecutive Integers: Represent the sides as , , .  

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

 

Step-by-Step Solution  

1. Find side lengths:  

Set up the perimeter equation:  

  

Sides: ,

Click "Show Answer" to reveal the answer and analysis