The length of the smaller of the two diagonals of a rhombus is 12 and the length of the larger diagonal is 16. What is the length of a side of the rhombus?

1 answer

1. The diagonals are perpendicular bisectors of each other and form 4
   congruent rt triangles and each side is
   a hyp.
   
   a = 12/2 = 6.
   
   b = 16/2 = 8.
   
   c^2 = a^2 €+ b^2,
   c^2 = 6^2 + 8^2,
   c^2 = 36 + 64 = 100,
   c = 10 = Length of each side.

   Answer ID
   525706

   Created
   April 5, 2011 5:14am UTC

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   https://questions.llc/answers/525706