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If diagonal of a square is 13 cm, then find its side.

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If diagonal of a square is 13 cm, then find its side.

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Let PQRS be the square of side x cm. 

∴ PQ = QR = x cm …..(i) [Sides of a square] 

∴ In ∆PQR, ∠Q = 90° [Angle of a square] 

∴ PR2 = PQ2 + QR2 [Pythagoras theorem] 

∴ 13 = x + x [From (i)] 

∴ 169 = 2x2

The length of the side of the square is 6.5√2 cm.

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