A square has an area of 256cm² and AB=BC calculate the length of AC

Square ACDE has an area of 256com² and AB=BC determine the length of AC
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1 Answer

AB=BC are the equal adjacent sides and AB.BC=256, so AB2=256, AB=16=BC=CD=AD.

AC is a diagonal, AC2=AB2+BC2 (Pythagoras), so AC2=256+256=512. AC=√512=16√2=22.63 approx.

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