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Facts and Applications of Pythagorean Theorem

Wednesday, March 27, 2019


The most important theorem in mathematics is the “Pythagoras Theorem” also known as “Pythagorean Theorem”. It is used to define the relation between three sides of a triangle. Pythagoras Theorem is stated as the square of the length of the hypotenuse side of a right triangle is equal to the sum of the square of the length of the other two sides. From the theorem, the Pythagorean equation that relates the length of the sides of a triangle a, b, and c is given as

                                                c2  = a2 + b2
From the properties of triangles, the Pythagorean theorem is derived from the right-angled triangle, where one of the internal angles of a triangle is 90 degrees. Other two angles of a triangle may be of equal degrees or it may vary. From the triangular property, it should satisfy the condition that the sum of the interior angles of a triangle is equal to 180 degrees. If the angles of a triangle are 45-90-45 degrees, it is called an isosceles right triangle where the value of the two angles remains the same. 

If the angles become 30-90-60 degrees, then it is called right scalene triangle. All the angles are different in the right scalene triangle. If the two sides of a right triangle are of unit length, then the diagonal value of the triangle is equal to the square root of 2 and it is called “Pythagoras’ constant”. The value of Pythagoras constant is approximately equal to 1.414. Some of the real-time applications of Pythagorean theorem are:

       To determine the slope of a triangle
       Used in architecture and construction field.
       Used in navigation to find the shortest distance.
       To create maps, the Pythagorean theorem is used before, to calculate the numerical distance.
       Pythagoras theorem is applied to any equation that contains square values.
       In computer science, it is used in bubble sort algorithm to increase the processing time which takes the square of the input value time to run.
       It is used in the trigonometric function to find the angles of a right triangle.

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