December 24 2009
Pythagorean Numbers
Pythagorean Numbers are most commonly used numbers in trigonometry. Actually, these numbers are determined with the help of right angle triangle. In other words these numbers are actually determined with Pythagoras theorem.
According to the Pythagoras theorem
(Hypotenuse)2 = (Opposite)2 + (Adjacent)2
Take numerical numbers 3 and 4 as opposite and adjacent sides’ values. With the help of Pythagoras theorem we can find the hypotenuse value of the respective right angle triangle.
(Hypotenuse)2 = (Opposite)2 + (Adjacent)2 = 32 + 42 = 25
Hypotenuse = √25 = 5
So, we determined hypotenuse by giving opposite and adjacent sides values. Similarly, we can also find hypotenuse for remaining numbers. These are the list of most commonly used Pythagorean numbers for everyone.
List of Pythagorean Numbers
- 3, 4, 5
- 5, 12, 13
- 7, 24, 25
- 8, 15, 17
- 9, 40, 41
- 11, 60, 61
- 16, 63, 65
In any competitive exam, these pythagoras numbers are commonly used. So, we especially students have to remember all these numbers to solve any kind numerical trigonometric problem easily.