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Pythagorean Theorem And Its Application

Tuesday, May 20, 2014

This time I gave the formula Pythagorean theorem, Pythagoras theorem is usually used in a long search for a right-angled triangle, just check it out



 Buddy count certainly no stranger to the formula a 2 + b 2= c 2 . That is the formula of Pythagoras theorem. Approximately 2500 years ago the Greek philosopher named Pythagoras discover interesting facts about triangles. He stated in a right triangle (one angle is 90 °), the square of the hypotenuse equals the sum of the squares of the other two sides. Let's consider the following picture buddy count.

If we have a right triangle with sides a, b, and c
right triangleWill apply
2 + b 2 = c 2
the Pythagorean theorem put forward by, side or hypotenuse c is called the hypotenuse
If the square of a square area, then apply a square area of ​​side length a + square area of ​​side length b = length of side c extents. This area will be used to prove the Pythagorean theorem formula, consider the following image
proof of Pythagoras theorem
by looking at the picture above,
a ^ 2 + b ^ 2 = C ^ 2
Proof of Pythagoras Toerema
Many ways can be used to prove the truth of this theorem. My friend can practice using the tool or directly by the graffiti on paper. Here is the simplest proof of the truth of the Pythagorean theorem using an area of the triangle and the square area. If my friend had a right-angled triangle , try to put them together to form a box like below.
proving the proposition Pythagoras
Area of Square = Area Big Square 
Small white + Triangle Area 4 

(a + b) 2 = c 2 + 2.ab 
2 + 2ab + b 2 = c 2 + 2ab
2 + 2 = c 2
 Other Pythagorean theorem proving can do is count my friend using floor tiles, if there home floor tiles or yam, try to create a triangular pedestal pal 4 high and 4 tiles tiles

Try pal measuring the length of the hypotenuse of the triangle in tiles (red line). If my friend is correct then the measurement will be the length of the hypotenuse is 5 times the length of the tile.
The application of the Pythagorean theorem in everyday life
1. Application in solving
Much about math and physics necessary to solve them using the Pythagorean formula.
examples about Pythagoras.
Determine diagonal space of the beam length 3 cm, 4 cm wide and 5 cm high. To determine the beam space panjag diagola inevitably we have to use the formula of Pythagoras.
Diagonal field = √ (3 2 + 4 2 ) = √ 25 = 5 cm
diagonal space = √ (5 2 + 5 2 ) = √ 250 = 5 √ 10 cm
2. Application in real practice
application of the Pythagorean theorem is done in many Bisang, especially in architecture. Architects use it to measure the slope of the building, for example, the slope of an embankment to be able to withstand the water pressure. It is also very helpful in determining the cost of making buildings. A carpenter was to create a triangular wooden pillars amplifier using the Pythagorean theorem.
   

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