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Diagonal of a square is 20 cm. Find the length and perimeter of the square. |
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Answer» Diagonal of square = 20 cm. Let side of square = x ∴ x2 + x2 = 202 ......(By Pythagoras theorem) ∴ 2x2 = 400 ∴ x2 = 200 ∴ x = 10 √2 cm. Perimeter of square = 4 × 10 √2 = 40 √2 (i) Side of square = 10 √2 cm. (ii) Perimeter of square = 40 √2 cm. |
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