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the rhombus has a diagonal of length 10 m and an area of 100 m².find the length of the other diagonal.

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The area of a rhombus can be calculated using the following formula:


A=(D\cdot d)/(2)

Where D is the bigger diagonal and d is the smaller diagonal.

If one diagonal has a length of 10 meters, let's use d = 10. So, if the area is 100 m², we have:


\begin{gathered} 100=(D\cdot10)/(2) \\ D\cdot10=200 \\ D=(200)/(10) \\ D=20\text{ m} \end{gathered}

So the other diagonal has a length of 20 meters.

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