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The diagonals of a rhombus measure 18 feet and 12 feet. What is the perimeter of the rhombus? Express your answer in simplest radical form.

 

Thanks!

AnonymousConfusedGuy  Mar 15, 2018
 #1
avatar+86889 
+1

The diagonals of a rhombus bisect each other.......this bisection forms a right triangle with each leg (1/2) the length of its respective diagonal.....the hypotenuse forms one of the equal sides

 

So.....the perimeter is given by  

 

4√ [ 9^2 + 6^2  ] =

 

4 √117  =

 

4 √ (9 * 13 )  =

 

12√13 ft

 

 

cool cool cool

CPhill  Mar 15, 2018
 #2
avatar+1146 
+1

Thanks so much!

AnonymousConfusedGuy  Mar 15, 2018

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