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 in ShapesA 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.
Full Answer >Three triangles can be drawn inside a regular pentagon. If the diagonals are drawn from any one vertex of the pentagon, the number of triangles formed is given by the formula n - 2, where “n” is the number of sides of the polygon.
Full Answer >Triangles are used in construction because they provide sturdy foundations to various infrastructures. Due to their rigid forms, triangles can withstand tremendous pressure.
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.
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