One of the four angles of a rhombus is 60°. If the length

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One of the four angles of a rhombus is 60°. If the length of each side of the rhombus is 8 cm, then the length of the longer diagonal is

1. 8√3 cm
2. 8 cm
3. 4√3 cm
4. 8/√3 cm

Correct Option: A

∠BAD = 60°
∴ ∠BAO = 30° ∠ABO = 60°

∴ sin 60° =	OA
	AB

⇒	√3	× 8 = OA
	2

⇒ OA = 4√3
∴ AC = 8√3 cm