Geometry

Question Analysis

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

 

Key Concept Explanation

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

 

Step - by - Step Solution

1. Calculate the semi - perimeter :

Let , ,