Maximum area of rhombus

Calculate the interior angles at which the equilateral rhombus has a maximum area.

Final Answer:

α =  90 °
β =  90 °
γ =  90 °
δ =  90 °

Step-by-step explanation:

S = a2 sin α  sin α=1 ⇒ α=π/2 = 90 ∘ α=90=90∘
β=180−α=180−90=90∘
γ=α=90=90∘
δ=β=90=90∘

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Calculation of an equilateral triangle.
See also our trigonometric triangle calculator.

You need to know the following knowledge to solve this word math problem:

planimetricsbasic operations and conceptsgoniometry and trigonometryUnits of physical quantitiesGrade of the word problem

 
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