Q23 of 95 Page 15

If the diagonals of a rhombus are 18 cm and 24 cm respectively, then its side is equal to

Given,


ABCD is a rhombus



AC=24 cm, BD = 18 cm


= AB=BC=CD=DA [side of rhombus]


We know that diagonals of rhombus bisect each other at 90°


In right ∆ AOB


AB2 = BO2+AO2


AB2= 122+92 = 144+81 = 225


AB =


Side of rhombus = 15 cm

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