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

 Dec 3, 2017
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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

 Dec 4, 2017
edited by CPhill  Dec 4, 2017

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