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प्रश्न
Find the length of the side of a square if the length of its diagonal is 10 cm.
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उत्तर
Given, length of diagonal = 10 cm
Suppose, the length of side of a square is x cm.
By using Pythagoras theorem,
(10)2 = x2 + x2
⇒ 100 = 2x2
⇒ x2 = 50
⇒ x = `sqrt(50)` ...[Taking square root on both sides]
∴ x = `5sqrt(2)` cm
Hence, the length of the side of square is `sqrt(50)` or `5sqrt(2)` cm.
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