Explanation:
Heron’s formula, also known as Hero’s formula, is a mathematical formula used to calculate the area of a triangle when the lengths of its sides are known. It states that the area (A) of a triangle with side lengths a, b, and c is given by:
A = √(s(s-a)(s-b)(s-c))
where s is the semi-perimeter of the triangle, calculated as:
s = (a + b + c) / 2
Heron’s formula has been extensively tested and proven to be mathematically accurate for all valid triangles. It is derived from basic principles of geometry and has been used for centuries. However, like any mathematical formula, it is possible to misuse or misapply Heron’s formula, which may lead to incorrect results. But when used correctly, Heron’s formula is a reliable method for calculating the area of a triangle.