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Question
Choose the correct alternative:
If the length of diagonal of square is √2, then what is the length of each side?
Options
2
√3
1
4
Solution
1
Let ABCD be the given square.
In ∆ABC,
∠B = 90°
∴ AC2 = AB2 + BC2 ...[Pythagoras theorem]
∴ (√2)2 = AB2 + AB2 ...[Sides of the square]
∴ 2 = 2AB2
∴ AB2 = 1
∴ AB = 1 unit
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