If the side of a rhombus is 10 cm and the diagonal is 16 cm,...... -Maths 9th

If the side of a rhombus is 10 cm and the diagonal is 16 cm,...... -Maths 9th
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True. AC = 16 cm BD = ? and AB = 10 cm  As the diagonals of a rhombus bisect each other at 90° ∴   OA = 1/2AC = 1/2 x 16 = 8cm OB = 1/2 BD  ∴    OA2 + OB2 = AB2 82 + OB2 = 102     ⇒ OB2 = 100 - 64 OB2 = 36   ⇒ OB = 6 cm  ∴   BD = 2 x OB = 2 x 6 = 12 cm Area of rhombus = 1/2 AC x BD = 1/2 x 16 x 12 = 96cm 2  
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