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Is a pentagon a rigid structure?

Updated: 10/26/2022
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8y ago

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A pentagon is a 5 sided geometrical polygon whose 5 interior angles add up to 540 degrees.

A pentagon is not a rigid structure unless the angles of the pentagon are "reinforced" or "fixed" so that they can't change. The only naturally rigid shape is a triangle. That is why many structures such as bridges have girders arranged in triangle formations.

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Strictly speaking a pentagon is a two dimensional plane figure and rigidity is not a property of plane figures. A pentagonal three dimensional object may be rigid depending of the construction materials.

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Q: Is a pentagon a rigid structure?
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Why is a pentagon a rigid shape?

This is a misguided question since a pentagon is NOT a rigid shape.


Is the shape of a house a rigid shape?

Is the "shape of a house" like a child's silhouette of a house? A horizontal base with vertical uprights at each end, and a roof consisting of two sloped lines. That is a pentagon and it is not a rigid shape. The only polygon that is rigid is a triangle.


What is the area of the figure with 25cm 7cm 14cm 12cm 12cm?

Since there are five numbers given it is assumed that the figure in question is a pentagon. Unfortunately, a triangle is the only polygonal shape that is rigid. A pentagon, with all five sides of known lengths is not rigid - it can be flexed in the same way that a square can be flexed into a rhombus. The area of a rhombus can take any value from 0 up to the value of the square: the exact value is indeterminate. Similarly for a pentagon.


What does the military pentagon have to do with geometry?

The military Pentagon is named after the geometric shape, the pentagon, due to its architectural structure. The Pentagon building itself is a five-sided polygon with five equal sides and five equal angles, representing a classic example of a pentagon shape in geometry. However, apart from its shape, there is no direct connection between the military Pentagon and the study of geometry.


Is the prefix pent used in pentagon Latin or Greek?

Its from the greek word pente (πεντε) meaning five (5). Also the other part of pentagon is greek. It means ''angle''. Pentagon means (a structure) that has five angles.