SOLUTION: True or False: The sum of the lengths of the diagonals of a rhombus is less than its perimeter.
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Question 269365: True or False: The sum of the lengths of the diagonals of a rhombus is less than its perimeter.
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
True
Special case square: Let each side = 1
each diagonal is sqrt(2) (Pythagoras)
2sqrt(2)=2.828 sum of the diagonals.
perimeter is 4
.
As one angle gets more acute and the other more obtuse the difference becomes even greater.
.
Ed
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