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If the diagonals of a rhombus are 18 c...

If the diagonals of a rhombus are `18 c m\ a n d\ 24 c m` respectively, then its side is equal to
(a)`16 c m` (b) `15 c m` (c) `20 c m\ ` (d) `17 c m\ `

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Given : AC=24cm and BD=18cm.
Sol. : Let the rhombus is ABCD and the diagonal of Rhombus bisect each other at right angles.
AO=OC= 12cm and OB = OD = 9cm
Let `angleAOD=90^@`
In right `triangle AOD`
AO= 12 cm and OD=9 cm
`AD^2 = AO^2+OD^2`
`AD^2=12^2+9^2`
`AD=15cm`
...
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