
Pickering's theorem
Pickering's theorem states that a triangle's area can be determined using only the lengths of its sides and the angles between them in specific ways. Essentially, it provides formulas that relate measurements within a triangle, enabling precise calculations of the area when certain angles and side lengths are known. This theorem is valuable in geometry and surveying because it helps find areas accurately without needing additional information like height or base length alone. It underscores the interconnectedness of angles and sides in a triangle, allowing for efficient and reliable area calculations.