Why are Pythagorean triples important?
2 min read
Asked by: Ace Hunter
Pythagorean triples are useful for applications because they are whole numbers that make the Pythagorean Theorem true. If you are looking for the length of a side of a right triangle, and you know the lengths of two sides, check first to see if you have a right triangle whose sides are a Pythagorean triple.
What are the uses of Pythagorean triples in our daily life?
The Pythagorean Theorem is useful for two-dimensional navigation. You can use it and two lengths to find the shortest distance. … The distances north and west will be the two legs of the triangle, and the shortest line connecting them will be the diagonal. The same principles can be used for air navigation.
Why is the Pythagorean Theorem so important?
The Pythagorean Theorem is so important in the world of Mathematics. When we deal with the right triangle, Pythagorean relation helps to study the length measures and establishes the relationship between the three sides of a right angled triangle.
What is unique about Pythagorean triples?
Since every Pythagorean triple can be divided through by some integer k to obtain a primitive triple, every triple can be generated uniquely by using the formula with m and n to generate its primitive counterpart and then multiplying through by k as in the last equation.
How Pythagorean Theorem changed the world?
The Greek mathematician Pythagoras is credited with writing down the version of the equation used today, according to the University of St. Andrews in Scotland. Along with finding use in construction, navigation, mapmaking and other important processes, the Pythagorean theorem helped expand the very concept of numbers.
