Solution: First, compute the area using Herons formula. The semiperimeter is:

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**Understanding the Power of Heron’s Formula: A Mathematical Tool Gaining Momentum in the US** When people encounter a question like “How do you calculate the area of a triangle without using height or base?” — many turn to geometry fundamentals for clarity. At the heart of this inquiry lies Heron’s formula, a powerful method rooted in triangles’ side lengths. Known formally as computing the area from the semiperimeter, this technique enables accurate area estimation using only three measurable sides. Its growing relevance reflects broader trends in both education and applied fields, where intuitive yet precise computational tools are increasingly valued. Heron’s formula gives us a reliable way to calculate the area of any triangle, regardless of shape, using only its three side lengths. The formula begins with finding the semiperimeter — half the total perimeter — then applying the key equation: area equals the square root of [s(s–a)(s–b)(s–c)], where *s* represents the semiperimeter and *a*, *b*, *c* are the side lengths. This approach avoids relying on ambiguous height values or right angles, making it applicable across engineering, architecture, land surveying, and even data visualization applications. **Rising Curiosity Across the US**