What is the sides of a square whose diagnals is 12cm
Mathematics
ScanSolve AI Answer
Step-by-step solution
4 stepsLet '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.
Simplify the equation.
2s² = d²
Substitute the given diagonal length (d = 12 cm).
2s² = (12 cm)²
2s² = 144 cm²Solve for s².
s² = (144 cm²)/(2)
s² = 72 cm²Solve for 's' by taking the square root of both sides.
s = √(72 cm²)
s = √(36 × 2) cm
s = 6√2 cmThe side length of the square is 6√2 cm.
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