Triangles are strong because of their inherent structural characteristics. The corner angles of a triangle cannot change without an accompanying change in the length of the edge. Therefore, in order to change a triangle’s shape, an edge must collapse.
Know MoreEdges can be made much stronger than connections. Triangles hold large loads without collapsing or having their structure altered. Triangles are the only polygons that have this characteristic. For instance, triangles have three connections, while squares have four. When forces are applied to a square, a square is more prone to lose its shape. Engineers often add a diagonal through the middle of a square, effectively turning it into two triangles and making it stronger. Triangles are the fundamental building blocks of many contemporary structures. Their strong, inflexible structure makes them perfect for contemporary designs. They are used in architecture and construction to create structures that must bear a certain amount of weight but still have material strength limits. For example, bridge and trusses are often constructed around triangles. Disney’s Epcot Center is another recognizable example of a structure in which triangles create stability in a 3-D structure. Of all the two-dimensional polygons, the triangle is considered the strongest because of its inherent structural qualities.
Learn more about ShapesIn an octagon, there are six triangles formed when diagonals are drawn from each vertex. An octagon is a figure that consists of eight straight sides, and it can be either regular or irregular polygons. While irregular octagons do not have sides of equal length, regular octagons do.
Full Answer >Using each edge of the hexagon as one of the bases of a triangle, only six triangles can be inscribed within a regular hexagon. A new vertex should be added at the midpoint of the hexagon to create the remaining triangles, which will share this new vertex.
Full Answer >Triangles are used to make rafters in buildings and curved domes. Some bridges have triangular structures, and the Egyptians made triangular-shaped pyramids. The shapes help surveyors use triangulation to determine the distance of a specific point from two other points of a known distance apart. Triangulation may be used to measure distances around corners and when digging tunnels, and carpenters use a right-angled triangle to take measurements.
Full Answer >A decagon is a ten-sided, closed-plane figure with eight triangles in it. These eight triangles are formed by joining any vertex of the decagon to any other vertex. Thus, the triangles are formed by drawing the diagonals of the decagon.
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