The lengths of the diagonals of a rhombus are 24 cm and 10 cm. The length of each side of the rhombus is
In a rhombus the diagonals bisect each other at 90°
AC = 24cm (given)
∴ AD = 12cm
BD = 10cm (given)
∴ BO = 5cm
In right angled Δ AOB
AB2 = AO2 + OB2
AB2 = (12)2 + 52
AB2 = 144 + 25
AB2 = 169
AB = 13cm
Hence the length of the sides of the rhombus is 13 cm
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