The side of square is 8cm. Find the length of its diagonal.
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using Pythagoras theorm
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As diagonal of square divide it into two right ∆s.
Hence,
Altitude = 8 cm
Base = 8 cm
From Pythagorean theorem,
h² = p² + b²
h² = (8)² + (8)²
h² = 64 + 64
h = √128
h = √16 x 8
h = √8 x 2 x 8
h = 8√2 cm
Hence, Diagonal = h = 8√2 cm
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