This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Let 's' be the side length of the square and 'd' be the length of the diagonal. The relationship between the side and diagonal of a square is given by the Pythagorean theorem: s² + s² = d². Step 1: Simplify the equation. 2s² = d² Step 2: Substitute the given diagonal length (d = 12 cm). 2s² = (12 cm)² 2s² = 144 cm² Step 3: Solve for s². s² = (144 cm²)/(2) s² = 72 cm² Step 4: Solve for 's' by taking the square root of both sides. s = √(72 cm²) s = √(36 × 2) cm s = 6√2 cm The side length of the square is 6√2 cm. Mándame la siguiente 📸