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Answer:
Similar triangles may show up everywhere in real life even if we are unable to notice them at first. The use of similar triangles is of utmost importance where it is beyond our reach to physically measure the distances and heights with simple measuring instruments. Still there are many applications that are beyond our knowledge where the simple concepts of similar triangles can create magical consequences and influence that particular area to a great extent and aid us to create a greater extent when we try to explore something new.
The uses of similar triangles thus can influence the varied number of fields. This numerous applications are majorly in the fields of engineering, architecture and construction and can be stated as:
In the vast area of architecture, similar triangles play an important role to represent the doors in the structure designed and how far they swing open.
Analysing the shadows that make triangles we can determine the actual height of the object.
Generally used to analyse the stability of bridges. Stability is an important factor when something is build.
Sometimes used in aerial photography to determine the distances from sky to a particular point on ground.
Useful in measurement of room and scale size in construction.
Generally used in determining the distances between light and the target in the light beams.
You can determine the height of any building, objects, people and length of people too with the use of scale modelling based on similar triangles.
For some cases in the real life projects they are used to hold the ground when an earthquake arises.
In construction to build the A - frame houses as the frame helps to reflect the similarity due to similar triangles when the bar of the frame is placed parallel to the ground.
Architect may sometimes use concept of similar triangles to aid in design of their work.
There may be many more areas that are not being listed here. As far as major applications are concerned then the above list can serve the purpose. Hope this helps. Apologies if any of the application is missed.
Thank you. All the best!