Geometry

Question Analysis  

Given triangle  with sides , , , the goal is to find the height  corresponding to side . This requires two main steps: first, calculating the area using Heron’s formula, then using the area to find .  

 

Key Concept Explanation  

1. Heron’s Formula: For a triangle with sides , , , the area , where  (semi-perimeter).  

2. Height from Area: Once the area  is known, the height  corresponding to base  is .  

 

Step-by-Step Solution  

1. Calculate the semi-perimeter :