SOLUTION: The Perimeter of a rhombus is 32. If one its angles measures 60 degrees, what is the length of each of its diagonals?
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Question 1058367: The Perimeter of a rhombus is 32. If one its angles measures 60 degrees, what is the length of each of its diagonals? Answer by Boreal(15235) (Show Source):
You can put this solution on YOUR website! Rhombus has 4 equal sides, and they are 8
The diagonals are perpendicular
The sides are the hypotenuse of right triangles formed by the diagonals.
One diagonal has a side of half 8 (it is a 30-60-90 triangle) or 4. The diagonal is 8
The other diagonal has half 4 sqrt(3) so the whole diagonal is 8 sqrt (3).
8 and 8 sqrt (3).