the length of a diogonal of a sqauee is 15√2 meter each side of the square is
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Therefore the side of the square is 15m.
Step-by-step explanation:
Length of diagonal = 15√2 m
Length of side = ??
Consider the side as y.
As in the attachment, consider triangle ACD.
By Pythagoras Theorem,
⇒ (Hypotenuse)² = (Base)² + (Perpendicular)²
⇒ (15√2)² = (y)² + (y)²
⇒ 450 = 2y²
⇒ y² = 450/2
⇒ y² = 225
⇒ y = √225
⇒ y = 15 m
Therefore the side of the square is 15m.
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