Geometry

Question Analysis

Given the side lengths of  (, , ), the focus is on using a method suitable for when all side lengths are known to find the area. Heron's formula is the appropriate choice here.

Key Concept Explanation

Heron's Formula: For a triangle with side lengths , , , the area , where  (semi - perimeter). It enables us to calculate the area when we have the lengths of all three sides.

Step - by - Step Solution

1. Calculate the semi - perimeter :

Let , , . Then

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