Rhombus

Internal angles of a rhombus are in the ratio 2:5.

How many times is the shorter diagonal longer than the side of the rhombus?

Final Answer:

r =  0.87

Step-by-step explanation:

α:β=2:5 α/2:β/2=2:5  α+β= 180 α=2+52​⋅ 180=7360​=5173​≐51.4286 ∘ A=α/2=51.4286/2=7180​=2575​≐25.7143 ∘  r=2⋅ sinA=2⋅ sin25.714285714285° =2⋅ 0.433884=0.87

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

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

 
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