Geometry

Question Analysis

The problem provides the side lengths , , of a triangle. The main focus is to use a method suitable for finding the area when all side lengths are known, which is Heron's formula.

 

Key Concept Explanation

Heron's Formula: For a triangle with side lengths , , , the area , where (semi - perimeter). This formula allows us to calculate the area of a triangle when we know the lengths of all its sides.

 

Step - by - Step Solution

1. Calculate the semi - perimeter :

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