10. ABCD is a square in which diagonal AC = 12 cm.
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Step-by-step explanation:
ABCD is a square so ,
AB=BC=CD=AD ......................( 1 )
In train. ABC
AB² + BC² = AC²
So , 2AB² = AC²
2AB² = (12)²
so , AB² = 144/2
AB² = 72
AB = √72
So , Area of square = side² = (√72)² = 72 cm²
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