2007-04-17 21:20:36 · 15 answers · asked by sampoorna 1 in Science & Mathematics ➔ Mathematics
Before I give my answer let me say that "any great knowledge disappear if it is not put on use" Fortunately Pythagoras theorem has few simple features that simplify computing(mental) and it has been propagated reasonably well since its inception!
To fully understand Pythagoras theorem, please grasp it in relation to a zero start 2D-square matrix, which is used in computers! Vedic Mathematics had used it as 'yx' order (instead of 'xy' order used now)! It still helps to mentally relate merged 'y' and 'x' position values in a page reading order!
However Vedic Mathematics had used right angled triangle relations differently, which is unknown today (please refer to my start words)
What you need is a direct answer to your question!
Pythagoras theorem "directly relate numbers to needs", which also enhance user skill to apply numbers!
A manner of using it in Vedic Mathematics is given below!
Imagine a page reading! It has row-numbers (y-increase from top to bottom) and columns (x-increase from left to right). Row-column 'yx' numbers maintain a usual left to right digits writing which supports mental computing!
'Yx' row-column number 34 indicates 3^2 + 4^2 = 5^2
'Yx' row-column number 43 indicates 4^2 + 3^2 = 5^2
'Yx' row-column number 68 indicates 6^2 + 8^2 = 10^2
'Yx' row-column number 86 indicates 8^2 + 6^2 = 10^2
'Yx' row-column number 99 indicates 9^2 + 9^2 = 162
Said simple relations are appearent in matrix position values when we confidently give "a zero start position" of both 'Y' and 'x' elements!
Functionally pythogorus theorem is a matrix linked number applcation and a related computing is within graspable limit of ordinary users of computing!
I do not wish to relate "practical applications" to individual human needs! You are aware that each said practical applications relate number applications/computing!
2007-04-18 02:42:48 · answer #1 · answered by kkr 3 · 0⤊ 0⤋
The most widely quoted "practical" application of the Pythagorean theorem is actually an application of its converse. The theorem of Pythagoras says that if a triangle has sides of length a, b and c and the angle between the sides of length a and b is a right angle, then a^2 + b^2 = c^2. The converse says that if a triangle has sides of length a, b and c and a^2 + b^2 = c^2 then the angle between the sides of length a and b is a right angle. Such a triple of numbers is called a Pythagorean triple, so 3,4,5 is a Pythagorean triple and so are 6,8,10 and 5,12,13.
The application is in construction. It is very important when starting a building to have a square corner, and a Pythagorean triple provides an easy and inexpensive way to get one. Drive a stake at the desired corner point and another stake 3 meters from the corner along the line where you want one wall of the building. Then position a third stake so that its distance from the corner is 4 meters and the third side of the triangle formed by the three stakes is 5 meters. Since 3,4,5 is a Pythagorean triple the angle at the corner is a right angle.
Ancient Egyptian builders may have known the (3,4,5) triangle and used it (with measured rods or strings) to construct right angles; even today builders may still nail together boards of those lengths to help align a corner.
Imagine you were standing at an elevation of h meters above the ocean and looking out across the water. What is the distance D to the horizon? It can be calculated, if you know the radius R of the Earth.
Your line of sight to the horizon is a tangent to the Earth--a line which touches the sphere of the Earth at just one point, marked B in the drawing here. If O is the center of the sphere of the Earth, by a well-known theorem of geometry such a tangent is perpendicular to the radius OB, that is, it makes a 90o angle with it.
It follows that the triangle OAB obeys the theorem of Pythagoras, which here can be written
(OA)2 = (AB)2 + (OB)2
2007-04-17 21:28:12 · answer #2 · answered by Tanay,the cool guy 2 · 0⤊ 0⤋
Applications Of The Pythagorean Theorem
2016-12-28 07:18:11 · answer #3 · answered by ? 3 · 0⤊ 0⤋
Pythagorean Theorem Applications
2016-11-14 00:39:36 · answer #4 · answered by riedthaler 4 · 0⤊ 0⤋
You mean the Pythagorean theorem? Any time a right triangle shows up, it can be applied. And there are lots of places to find right triangles.
We build lots of things that are rectangular and have right angles, so the Pythagorean theorem applies here when you consider the diagonal. For example, computer monitors and televisions are sold by screen size, but the size is measured on the diagonal. Somebody a few weeks ago asked how he could figure out the dimensions of a 19" TV screen that had a standard 16:9 aspect ratio, and I showed him how using the Pythagorean theorem.
2007-04-17 21:34:25 · answer #5 · answered by Anonymous · 0⤊ 0⤋
Electronics. Particularly anything where you have orthogonal signals, quadrature encoded signals. things like that. The magnitude (read as 'hypotenuse') of a signal or error vector is related to the orthogonal components (read as 'sides of the triangle') by Pythagoras' theorem.
The determination of the bits of the QAM encoded signal of the OFDM subcarriers in the wireless LAN that you're probably connecting to the internet with right now involves a solving of Pythagoras' theorem for pretty much every bit.
2007-04-17 21:37:38 · answer #6 · answered by anotherbsdparent 5 · 0⤊ 0⤋
If u are studying mechanics or interior designing then pythagoras theorem will be a part and parcel of your life
Pythagoras theorem can be used for calculating distances and various other purposes
2007-04-17 22:55:52 · answer #7 · answered by Vatsal S 2 · 0⤊ 0⤋
Pythagoras theorem is used EVERYWHERE!
It is used everywhere man!! In every damn thing.
SCIENCE AND MATHS CANNOT EXIST WITHOUT PYTHAGORAS!
Just THINK, it can be used anywhere you think.
It is used for calculating distance between two points (points which have X and Y coordinated)
2007-04-18 05:38:36 · answer #8 · answered by Omkar 2 · 0⤊ 0⤋
Several:
In game development to determine the distance of from one point to another if the level is arranged as fixed squared quads.
To find the distance on a paper map of 2 x 2 kms from one point to another.
And practically in several occasions where you shall fall into. Our life revolve round these fundamental maths.
2007-04-17 21:31:11 · answer #9 · answered by psychologist 1 · 0⤊ 0⤋
your walking on the land, a force will be pulling your feet up.. and you also use some force down..... When you resolve this according to resolutiion of vectors you will get a triangle.... In that also the pythagoras is used.........
2007-04-18 15:23:42 · answer #10 · answered by reddky 1 · 0⤊ 0⤋