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Prove that the perimeter of a quadrilateral is greater than the sum of the length of its diagonal?
Wiki User
∙ 14y ago
The shortest path between two points is a straight line. This is a mathematical fact, which can be proven in another question.
The diagonal of a quadrilateral is a straight line between two opposing (non-adjacent) vertices. The perimeter of a quadrilateral will include two separate paths between the same vertices. The difference is that these two paths are each composed of two linked line segments, so each of these paths will be longer than the diagonal.
Therefore, the length of the perimeter of a quadrilateral will be greater than twice the length of either diagonal.
Wiki User
∙ 14y ago
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The perimeter of a rhombus is 40cm and the length of one diagonal is 16cm find the length of the other diagonal?
The length of the other diagonal works out as 12cm
What is the perimeter of a square that has a diagonal of length 20 meters?
The perimeter of this square is 56.569 meters.
What is the formula for finding the perimeter of a quadrilateral?
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A "regular quadrilateral" is a square. The word "radius" isn't used for squares (or polygons in general). To get the length of a side, divide the perimeter by 4. To get the diagonal of a square, multiply the length of a side by the square root of 2.
What is the area of a rhombus with a perimeter diagonal?
it is impossible for a diagonal of a rhombus to be the same length as its perimeter
The perimeter of a rhombus is 40cm and the length of one diagonal is 16cm find the length of the other diagonal?
The length of the other diagonal works out as 12cm
What is the perimeter of rhombus having its diagonal 14m?
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How do you find diagonal of rectangle when perimeter and width are known?
Length = (1/2 of perimeter) minus (Width) Diagonal = square root of [ (Length)2 + (Width)2 ]
What is the perimeter of a square that has a diagonal of length 20 meters?
The perimeter of this square is 56.569 meters.
What is the formula for finding the perimeter of a quadrilateral?
The perimeter of a quadrilateral is always equal to the sum the lengths of its four sides. So perimeter = Side1 +Side2 + Side3 +Side4. If the quadrilateral happens to be a parallelogram, a quick way to calculate the perimeter is 2 x length of base + 2 x length of height.
What is the length of a diagonal of a square with perimeter equals 74?
~26.16 units.
The length of a diagonal of a square is 24square root 2 millimeters find perimeter of the square?
The perimeter of a square with a diagonal length of 24 square root 2 millimeters (33.94 mm) is: 96 mm
How do you do perimeter on a square?
The answer depends on what information you do have: the length of a side, or a diagonal, the area, ... If a side is of length s cm then the perimeter is 4*s cm.
What is the perimeter of a rectangle with a diagonal length of 7 feet and an area of 16 feet squared?
The perimeter is 18 feet.
What is the area of a square with 2.35m?
It depends on 2.35m what: length of sides, diagonal, perimeter.
