Heron's Formula is a mathematical equation used to calculate the area of a triangle when the lengths of all three sides are known. The formula is expressed as A = \sqrts(s-a)(s-b)(s-c) , where A is the area, and a , b , and c are the lengths of the sides. The variable s represents the semi-perimeter of the triangle, calculated as s = \fraca+b+c2 . This formula is particularly useful because it does not require knowledge of the triangle's height or angles. Heron's Formula is named after Hero of Alexandria, a Greek engineer and mathematician who lived in the first century AD. It provides a straightforward method for finding the area of any triangle, making it a valuable tool in geometry.