R^2 = 1^2 + (\sqrt{3})^2 = 4 \Rightarrow R = 2

Sun, 03 May 2026 15:16:12 +0000

Understanding the Meaning of R² = 1² + (√3)² = 4: Why R = 2 When we encounter the equation R² = 1² + (√3)² = 4, it may appear as a simple Pythagorean identity, but it also reveals a powerful insight into calculating distances and magnitudes in coordinate geometry and vector algebra. This article explores how this equation leads naturally to the conclusion R = 2, and why understanding this relationship is key to solving geometric and analytical problems efficiently. ### Breaking Down the Equation The expression
R² = 1² + (√3)² = 4
uses the Pythagorean theorem in the context of vector magnitudes or coordinate distances. Here, R represents the length of a vector or the hypotenuse of a right triangle with legs of length 1 and √3.