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

Guest Dec 3, 2017

#1**+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

CPhill Dec 4, 2017