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In a rhombus, all the side lengths are $12,$ and one of the angles is equal to $90^\circ.$ Find the area of the rhombus.

 Jun 1, 2024
 #1
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I believe the rhombus is a square for main reasons. 

 

For one thing, the opposite angles of a rhombus are 90 degrees, so we have two 90 degree angles.  

The adjacent angle also should be 90 degrees, so all 4 angles are 90 degrees. 

 

Therefore, we just have a square. 

 

We have \(12^2 = 144\)

 

So the area is 144. 

 

Thanks! :)

 Jun 1, 2024

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