Heron's Formula calculates the area of a triangle when all three side lengths (\(a, b, c\)) are known.
First, verify the triangle inequalities (the sum of any two sides must be greater than the third):
\[ a + b > c,\quad b + c > a,\quad c + a > b \]
If valid, calculate the semi-perimeter \(s\):
\[ s = \frac{a + b + c}{2} \]
Then, the area \(A\) is given by:
\[ A = \sqrt{s(s - a)(s - b)(s - c)} \]
Enter the three side lengths a, b, c