A 24 {cm} long wire is bent to form a triangle with one of the angles as 60^{\circ} . What is the altitude of the triangle having the greatest possible area? [NDA-I 2021]

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A 24cm long wire is bent to form a triangle with one of the angles as 60∘. What is the altitude of the triangle having the greatest possible area?

[NDA-I 2021]

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