If ABCD be a rhombus, AC is its smallest diagonal and ∠ABC

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If ABCD be a rhombus, AC is its smallest diagonal and ∠ABC = 60°, find length of a side of the rhombus when AC = 6 cm.

1. 6 cm.
2. 3 cm.
3. 62cm.
4. 33 cm.

Correct Option: A

According to question , we draw a figure of rhombus ABCD in which AC is its smallest diagonal

∠ABC = 60°
AB = BC
∴ ∠BAC = ∠BCA = 60°
∴ ∆ ABC is an equilateral triangle.