the area of a square is 5 centimetre square find the length of its diagonal
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By pythagoras theorem (since two adjacent sides enclose an angle of 90°),
(5)² + (5)² = (Diagonal)²
⇒ 25 + 25 = (Diagonal)²
⇒ 50 = (Diagonal)²
⇒ Diagonal = √50
⇒ Diagonal = 5√2 cm.
Explanation:
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