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A scarf has a pattern in the shape of a rhombus. The longer diagonal is 31 mm and the shorter diagonal is 20 mm. What is the area of one rhombus?
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Are diagonals always longer than the sides?
On squares and rectangles, yes. But on parallelograms and rhombus the one diagonal can be shorter than one of the sides.
The diagonals of a kite?
The longer diagonal bisects the shorter diagonal.
What shapes longer diagonal bisects shorter diagonal?
Kites, arrowheads.
What is the area in terms of x of a rhombus with one diagonal that is 4 times the other diagonal?
Diagonals of a rhombus are perpendicular so the product is the area. If x is the smaller diagonal, the longer is 4x, and the area if 4x2.
What important property do the diagonals of a kite have?
The diagonals are perpendicular to one another. The shorter diagonal is bisected by the longer diagonal. The kite is symmetrical about the longer diagonal. The longer diagonal bisects the angles at each end of the diagonal.
EFGH is a rhombus of side length 12.2 If the longer diagonal EG is 24 find the length of the shorter diagonal FG?
FG should be 12.2²-12²(half of 24)=4.84 then square root it which equals 2.2 and then you double it so the answer is 4.4
Do the diagonals of a kite bisect each other?
No, they do not. Only the longer diagonal bisects the shorter diagonal.
Is any diagonal shorter than any side on a regular pentagon?
While only visualizing it and not bothering to draw it, it seems to us thatany diagonal of any regular polygon with more than 3 sides is longer thanany side.
What polygon can you form by combining a rhombus and a triangle?
A longer rhombus
How do you calculate the sides of a parallelogram given the height and longer diagonal?
The height and longer diagonal do not provide enough information to calculate the sides.
Which figure is not always equiangular a rectangle rhombus or a square?
A rhombus is NEVER equiangular. If it were equiangular it would no longer be a rhombus but a square.
Why is the longer leg longer than the shorter leg if the shorter leg is longer than the longer leg?
Because if the shorter leg was shorter than the longer leg was long, then the longer leg wouldn't be longer than the shorter leg is short. The short leg would be the longer one rather than the long one being the short one.
