Geometry

Question Analysis  

Given the area of a triangle is  cm² and its sides are in the ratio , the goal is to find the perimeter. Represent the sides using a common variable , apply Heron’s formula to relate the area to , and solve for the perimeter.  

 

Key Concept Explanation  

Heron’s Formula: For sides , area , where  (semi-perimeter).  

Ratio Representation: Express sides as  to simplify calculations with the given ratio.  

 

Step-by-Step Solution  

1. Represent sides using the ratio:  

Let the sides be , , .  

Perimeter , so semi-perimeter

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