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Two triangles are SIMILAR if the only difference is size (and possibly the need to turn or flip one around).

These triangles are all similar. (Equal angles have been marked with the same number of arcs) Some of them have different sizes and some of them have been turned or flipped.

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1. For Similar Triangles, the corresponding angles are equal

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2. For Similar Triangles, the corresponding sides are in the same ratio

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We find triangles in almost every aspect surrounding us if we carefully observe.
For instance, if we prove two triangles similar then that can help us find heights and distances of various objects. This method is extensively used in the field of architecture and where in it helps in measuring the room and scale size in construction. Apart from having construction and architecture uses , Aerial Photography is another such field which widely uses the concept of these triangles to determine the distances from sky to a particular point on ground.
Hence, the concept of Similar Triangles is something that goes a long way in easing our methods for finding various values and measurements.

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NOW WHERE DO WE USE SIMILAR TRIANGLES IN OUR DAILY LIFE  ?

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NOW WHERE DO WE USE SIMILAR TRIANGLES IN OUR DAILY LIFE  ?

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You might not even now that triangles are every where in our life :

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.

Analyzing 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.

(Aman Kumar 10 B)

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SIMILAR TRIANGLES ARE USED IN BRIDGES AND HOUSES TO GIVE THEM MORE STRUCTURAL SUPPORT TO PREVENT THEM FROM BREAKING

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SIMILAR TRIANGLES ARE USED IN BRIDGES AND HOUSES TO GIVE THEM MORE STRUCTURAL SUPPORT TO PREVENT THEM FROM BREAKING

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Kajal Yadav X A
Triangles are effective tools for architecture and are used in the design of buildings and other structures as they provide strength and stability. When building materials are used to form a triangle, the design has a heavy base and the pinnacle on the top is capable of handling weight because of how the energy is distributed throughout the triangle. This is why many residential homes have A-frames.

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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.

What if I say that you can measure the height of a tall building by a broomstick?

Well with the amazing concept of similar triangle it is 💯% Possible.

Let's see how….

Take a broomstick, a hammer and a measuring tape with you. Pound the broomstick into the ground a few inches so it stands up on its own.

1. Measure the length of the broomstick's shadow

2. Calculate the ratio of the broomstick's shadow length to the broomstick's height

3. Measure the tower's shadow

4. Apply the ratio to discover the tower's height

(Srijan Tripathi X-B)