Geometry

Question Analysis  

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

 

Key Concept Explanation  

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

2. Height from Area: The height  corresponding to base  is , derived from the area formula .  

 

Step-by-Step Solution  

1. Calculate the semi-perimeter :  

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