Processing math: 100%
 
+0  
 
0
19
2
avatar+1216 

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+1950 
+1

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 1212=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 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 90then all of the angles are 90. Which means the area is 122=144

 Jul 22, 2024

0 Online Users