Application of Pythagorean Theorem
The real life applications of Pythagorean Theorem is mentioned below in detail:
Road Transportation
Pythagorean Theorem can be used to find minimum distance between two points and design a route accordingly for minimum time of transportation. Civil engineers use Pythagorean theorem to design road networks for efficient transportation. Delivery and Logistics use the theorem to find minimum distance between delivery points and then choose the shortest routes among available routes for reducing fuel costs and improving their service periods.
Airlines
Pythagorean theorem is used in airlines to design runways for safe takeoff and landings. The diagonal distance is determined using the theorem as per the safety standards. Pilots also use the theorem to calculate the shortest direct path between waypoints in a three dimensional space and plan flight routes accordingly so that fuel is conserved and travel times are reduced.
Robotics
Navigation Algorithms are designed for robots using Pythagorean Theorem so that efficient navigation is ensured and shortest path is followed considering various obstacles in the way. Robots can find shortest distance between two points by calculating horizontal and vertical distance between the levels and then calculate the diagonal distance to be moved using Pythagorean theorem for efficient movement and battery saving.
Mechanics
Resultant of two vectors when they are perpendicular to each other is determined using Pythagorean theorem. The result can be used find resultant force, velocity, acceleration, etc. Structural analysis can also be performed using the theorem to calculate forces and stresses and different structures such as bridges, buildings, flyovers, etc. to ensure stability and safety. Thus, Pythagorean theorem is applicable to physics and engineering as well.
Electronics
Pythagorean Theorem is applicable in field of electronics to calculate the shortest path for connections between components in design of printed circuit boards (PCBs) to minimize signal losses, reduce resistance and optimize overall performance of the circuit. The theorem is also used to determine the optimal height and position of antennas by calculating their distance from the receiver in order to maximize signal strength and coverage area.
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Application of Pythagorean Theorem in Daily Life
Pythagorean Theorem gives a relation between the sides of a right-angled triangle. It is also known as Pythagoras Theorem. The three side lengths following the Pythagorean theorem are called Pythagorean triplets. It was given by one of the ancient Greek mathematicians named Pythagoras. The longest side of a right-angled triangle is called a hypotenuse, and the other two are called base and perpendicular. The theorem states that the square of the length of the hypotenuse is equal to the sum of the square of base length and the square of perpendicular length.
Pythagorean Theorem is one of the basic mathematical theorems and has a variety of applications in the analytical as well as practical world. In this article, applications of the Pythagorean Theorem in Daily Life are discussed.