Congruent Triangles Used In an Occupations or Real Life Situation

Geometry is a mathematical science whose principles play critical functions in human life. Civil engineering is one of the fields in which geometry concepts are required, as people rely on geometry skills to construct structures such as bridges, houses, and ships. The concept of using geometry in construction has significantly enhanced the position of humanity in many ways. The use of triangles in the construction process is a skill that originated from the works of ancient builders thus necessitating the need to analyze the factors that promote the idea of congruent triangles in the construction of bridges.

One of the simple polygons that civil engineers utilize in the building of bridges is triangles, specifically the congruent triangles. Morrison et al. (548) argue that the use of congruent triangles aid in the equal distribution of torque within the bridge thus enhancing the stability of the structure. Particularly, a set of congruent triangles in the bridges helps in the allocation of force in one direction thus improving the suitability of the bridge to sustain large weights from the objects such as heavy trucks or humankind. One of the areas in which architectures use the congruent triangles is in the construction of suspension bridges, which have a set of cables attached to towers and support specific parts of the bridge. For example, the Brooklyn Bridge in New York City has a set of congruent triangles that aid in its stability. Congruent triangles also help in reinforcing the materials that civil engineers use in the construction of bridges (Morrison et al. 548). In reality, the design of the suspension bridges makes them stable and improves their ability to support the weight from various objects.

The examination of the congruent triangles indicates that stability originates from the equality of the angles that are between two lines. In essence, the equal angles play a crucial role in ensuring that the structure sustains the weight from an object in an efficient manner thus reducing the possibilities of breakage from a particular joint in the sides that support the bridge. Also, congruent triangles have two of their sides equal and enclose a particular angle. Consequently, the same sides aid in the similar support to the base of a bridge, which bears the force. The efficient use of the principles of congruency in the construction of bridges enhances the durability of the structures, thereby managing the expenses of the building process.

According to the analysis by architectural experts, the use of congruent triangles elevates the building process because an engineer can efficiently determine the angles and lengths of the sides of the bridge (Bird 409). In essence, the process of designing of the parts that support a particular bridge can be challenging to an engineer, due to the use of numerous materials in the construction process. However, the application of the idea of congruent triangles makes the architectural work economical because an engineer only needs few materials such as metals, to undertake the construction process, unlike a situation where an engineer utilizes the polygons with more than three sides. For instance, the cost of construction of the Golden Gate Bridge was little because of the application of the idea of congruent triangles during the building process.

Aesthetic values of a bridge also increase due to the use of the concept of congruent triangles in the course of construction. In particular, the idea of congruent triangles leads to the development of sides or angles of a bridge that is equal thereby improving the physical appearance of the bridges. Millau Viaduct (in Southern France) is an example of the bridges whose aesthetic values improved due to the use of congruent triangles in the construction process. Civil engineers also use the congruent triangles in the building of bridges because triangular shapes help to reinforce the other materials that are useful in architecture. In essence, a triangle consists of three sides and vertexes thus making the triangles resistant to forces that other building materials exert on the base of a bridge. Contrary to the triangles, other polygons such as rectangles or squares have many sides and are unstable thus increasing their possibility to succumb to the weight of the objects that pass through the bridge. For example, the triangular structures in the Golden Gate Bridge have efficiently enhanced the bridge’s ability to sustain its weight despite the large mass of materials that civil engineers used during the construction process.

Congruent triangles play a critical role in ensuring that they maintain the stability of buildings determined to be in danger. Apart from the use of the congruent triangles in construction of buildings, the congruent triangle can equally find significant application in the design of the digital objects. According to Barnali et al (76), the optimal polygonal covers of a digital object is essential when it comes to image analysis and visualization through a computer. The application of the technique is critical since it leads to the realization of the best outcome in any of the digital work that is being conducted. The application of the congruent triangles emanates from the fact that they are reliable and have a greater chance of ensuring that the designed digital object attains the best architectural appearance that is possible.

Structural engineers have equally found significant application in the use of the congruent triangles. Particularly, it is essential to acknowledge that similar types of shapes are being used in buildings. Further, the frames used in the building are composed of squares that are either stacked onto each other or form a scaffolding. However, when the individual squares are broken down into different pieces, one would end up with a number of triangles. The strength of the individual shapes that are used in the given construction process depends on how they have been combined. The adoption of the congruent triangles is critical since it brings about the aspect of reinforcement which is critical for any building that is expected to be strong. The structural engineers have found significant application in the use of congruent triangles.

Mechanical engineers have equally adopted the use of the congruent triangles in the engineering works. In the process of designing cranes, it is critical to use the triangles especially in the frames. This is essential in ensuring that the final product is one that stands any challenges related to strength. The engineers have a fundamental role to ensure that the products designed as a congruent triangle for purposes of achieving the best outcome. Buildings not designed in accordance with the specified standards. This is critical because it will ensure that the given product does the work that it is meant to undertake.

The use of congruent triangles has also been depicted in interior designing of houses. The use of the triangles is essential since it ensures that the measurements used in the design of the house remain to be the same. The congruent triangles have been used in the modern art and when it comes to decorating of rooms. The benefit arises out of the fact that it would be possible to end up with a unified design around the room through the use of congruent figures and triangles which help in pulling the entire room design together. The geometric application of congruent triangles helps in bringing out the aesthetic value of the given building and this can equally be facilitated by painters as they come up with different patterns in the process of decorating the house. Overall, the application of the congruent triangles is critical in ensuring that the best design outputs of any given construction work is attained. However, of fundamental significance is the need to ensure that there is enhanced stability in the construction work.

As discussed in the essay, it is evident that the application of ideas of congruent triangles in the construction of bridges hinges on various crucial principles. One of the factors that lead to the use of congruent triangles in construction is to enhance stability. Also, the congruent triangles play a significant role in reinforcing the aesthetic values of the bridges. The use of congruent triangles in the construction of bridges also results from the need to economize the available building materials.

Works Cited

Bird, John. Understanding Engineering Mathematics.Routledge.2013. Print

Das, Barnali, et al. “A combinatorial technique for construction of triangular covers of digital objects.” International Workshop on Combinatorial Image Analysis. Springer International Publishing, 2014.

Morrison, Karen et al. GCSE Mathematics for Edexcel Higher. Cambridge University Press, 2015. Print