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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.

 Jul 22, 2024
 #1
avatar+1926 
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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 \(12*12=144\)

 

So the area is 144. 

 

Thanks! :)

 Jul 22, 2024
edited by NotThatSmart  Jul 22, 2024
 #2
avatar+16 
+1

A rhombus with an angle of \(90^\circ\) is the same as a square. Since the sides of a rhombus are all of equal length and the opposing angles are equal. If one of the angles are \(90^\circ \)then all of the angles are \(90^\circ \). Which means the area is \(12^2 = 144\)

 Jul 22, 2024

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