Find the area of a square that has a diagonal of 10 centimetre
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If side of square is 'a', then 2–√a=10. Squaring both sides, 2a2=100 a2=50 Area is 50 sqcm.
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⇒ Diagonal =square root of 2×side
⇒ Side =10/sq root of 2
⇒ Area of square=a^2
⇒ Area of square= (10/sq root 2)^2
⇒ Area of square = 100/2
⇒Area of square= 50
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