+0  
 
0
32
1
avatar

Rhombus ABCD has perimeter 148, and one of its diagonals has length 24. How long is the other diagonal?

Guest Dec 3, 2017
Sort: 

1+0 Answers

 #1
avatar+79894 
+2

All ides are equal....so......one side is

 

148/ 4  =   37  units

 

And the diagonals bisect each other and meet at right angles

 

And the side forms the hypotenuse of a right triangle and another leg is 1/2 of a diagonal length.....and the remaining leg is 1/2 of the other diagonal length

 

So....the length of the other diagonal  is

 

2 * √ [ 37^2 - 12^2 ]  = 2 √1225   =  2 * 35   =    70 units

 

 

cool cool cool

CPhill  Dec 4, 2017
edited by CPhill  Dec 4, 2017

10 Online Users

We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details