(ii) If the diagonal of a square is 12root2
cm then the perimeter of square is
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Let one side of the square be s
[Drawing a diagonal will divide the figure into 2 right triangles]
Using Pythagoras Theorem:
s² + s² = (12√(2))²
2s² = 144 × 2
s² = 144
s = √(144)
s = 12 cm
We know:
Perimeter of a square = 4 × Side
So perimeter = 4 × s
= 4 × 12
= 48 cm [Answer]
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Answer:
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Step-by-step explanation:
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