Pythagoras’ Theorem

The right-angle triangle forms a ninety-degree triangle that has three sides such as base, perpendicular, and hypotenuse. The formula for the Pythagoras theorem is the square of the perpendicular side and the square of the base is equal to the square of the hypotenuse. In real-life, this theorem helps to identify the length of the stairs, help to identify the number of steps that anyone has walked. This theorem helps to identify the length of the trees from some distances. The discoverer of this theorem is based on the Greek mathematician his name was Pythagoras.

What is Pythagoras theorem?

One of the important topics that need to be studied is the Pythagorean Theorem. In this theorem, the length is to be measured. This theorem follows the three sides as hypotenuse, base, and perpendicular side. The formula for this theorem is the square of the perpendicular side and the square of the base is equal to the square of the hypotenuse.

What is the application of the Pythagoras theorem?

Pythagoras theorem is used in day-to-day life such as, in the construction site Pythagoras theorem is used for the construction of the building. This theorem is used for the construction of the room and finding the length at different elevations. In the Pythagoras, the theorem hypotenuse is the largest triangle and is always opposite of the 90-degree angle. The use of this theorem is to find the side of the right-angle triangle. The formula of the Pythagoras theorem is 

a2 + b2= c2

a= side of the perpendicular

b= side of the base

c= side of the hypotenuse

What is the purpose of the Pythagorean Theorem?

Pythagorean Theorem is a useful tool in mathematics to find the length of the side of the right-angle triangle. This is the geometrical theorem that depends on the right angle triangle having three sides, base, hypotenuse, and perpendicular. 

What is the role of the Pythagoras theorem in engineering?

In aeronautical engineering, the engineers used to find the path of the spacecraft such as rocket. In architecture engineering, the engineers need to find the height of the building through this theorem. The architecture constructs the room of the building through this Pythagoras theorem. Civil engineers use this theorem to find out the length of the road, to construct the bridges etc. the mechanical engineers use this theorem in the production department, design department, a machine tool. In the mechanical department, this theorem is used for the production of the gear.

Mechanical students in various fields such as lather machines use this theorem, shaping machines, screw-threading machines. 

What is the impact of the Pythagoras theorem in the world?

The right-angle triangle is one of the dimensions that are used at every place, such as from building a room to constructing a road and highways it is used everywhere. Two right-angle triangles construct a square or a rectangle is used to constructs a room. In mathematics, this theorem is used to construct irrational numbers such as the square root of the number two. 

What is the contribution of the Pythagoras theorem?

The mentioned theorem is used in numerology, music and human lifestyle, cosmology, mathematics, religious lesson, reasonings.

Music- Pythagoras theorem is used in music for tuning purposes. The musician with the help of this theorem tries to compose music by developing the tunes.

Mathematics- this theorem is used in several chapters of the moths such as height and distance to find the distance of the object from any point. 

Reasoning- in the reasoning this theorem is used to calculate the length of the side of the ninety-degree triangle. 

Cosmology- It is used to find the shape of the planet or the distance of the stars or celestial body from any point. Cosmology with this theorem can easily find the distance of the star from another star or planet from another planet. 

Numerology- Along with these, it is one of the ancient studies that define the meaning of the different numbers through this theorem. In numerology, the numerologist has to work on several numbers, symbols, and letters.

Real-life- two straight lines that form a ninety-degree angle can develop a hypotenuse. This concept is used in day-to-day life to construct a room, to find the distance of the tree from one elevated point that consists of a ninety-degree angle. This theorem helps to find the height of the tree that stands at a ninety-degree angle. The height of the hill can easily be calculated from this theorem. Hence the Pythagoras theorem is used everywhere in real-life has a great impact.

Conclusion

This research deals with the uses of the Pythagoras theorem in real-life such as used in manufacturing the bridge, roads, buildings etc. This theorem depends on three sides in that two sides form a ninety-degree angle and the third side is the hypotenuses. The largest side of the triangle is the hypotenuse, which is greater than the two sides. The formula for the Pythagoras theorem is the square of the side of the perpendicular plus the square of the base that is equal to the square of the hypotenuse. This theorem can also be defined, as the sum of the square of the two sides that is made up of a ninety-degree angle is equal to the square of the hypotenuse.