Question

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

Answer 1

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.