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  1. ABCD is a rhombus whose side AB = 4 cm and ∠ABC = 120°, then the length of diagonal BD is equal to :
    1. 1 cm
    2. 2 cm
    3. 3 cm
    4. 4 cm
Correct Option: D

According to question , we draw a figure of rhombus ABCD

Here , AB = 4 cm and ∠ABC = 120°
From ∆BOC,

cos 60° =
BO
4

⇒ BO =
1
× 4 = 2 cm
2

∴ BD = 2BO = 2 × 2 = 4 cm



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