A Pythagorean triple is 3, 4, 5 since 32 + 42 = 52. By using this as a ration (3 : 4 : 5), it can be quite useful:
To make a right angle for building purposes (just like the ancient Egyptians), getting three lengths in the ratio of 3 : 4 : 5 (say 30 cm, 40 cm and 50 cm) joining them to make a triangle will create a right angle where the sides with the ratio of 3 : 4 join.
While doing your homework, or on mapping, or for distance.
Carpentry
In comparing the effect of focal lengths in digital cameras with different sized sensors.
Pythagoras is best known for his contributions to mathematics, particularly the Pythagorean theorem, which establishes a fundamental relationship between the sides of right triangles. This theorem is crucial in various fields, including architecture, engineering, and computer science, enabling precise calculations and designs. Additionally, Pythagorean ideas influenced philosophy and the understanding of numbers, laying the groundwork for future mathematical concepts. His work continues to be foundational in education and practical applications today.
Sometimes when turning a corner you have walk through 90 degrees or crossing a rectangular field you'd take the shortest distance across it which is its hypotenuse.
While doing your homework, or on mapping, or for distance.
it can be used when adding up the sides of a computer toaster
You work as a house painter. When you set up your ladder, you like to set the base 5-ft from the wall, for stability. How high on the wall can you reach with a 12-ft ladder ? With a 15-ft ladder ? With a 30-ft ladder ? ============================================================== The question is not: Can the Pythagorean Theorem help you in real life ? The question is: Is your life real enough yet that you can use the Pythagorean Theorem to make it easier ?
In real life its not useful, unless you're going to need geometry in the career you choose.
Carpentry
In comparing the effect of focal lengths in digital cameras with different sized sensors.
You don't, unless you work in engineering. The Wikipedia article on "binomial theorem" has a section on "Applications".
Pythagoras is best known for his contributions to mathematics, particularly the Pythagorean theorem, which establishes a fundamental relationship between the sides of right triangles. This theorem is crucial in various fields, including architecture, engineering, and computer science, enabling precise calculations and designs. Additionally, Pythagorean ideas influenced philosophy and the understanding of numbers, laying the groundwork for future mathematical concepts. His work continues to be foundational in education and practical applications today.
when simplifying fractions
shopping, travel, measurements and money are the real life applications of real number system.
Any pythagorean triangle with unequal legs.
The Pythagorean theorem can be applied in daily life for various practical purposes, such as determining the shortest distance between two points. For example, if you're planning to build a fence in a rectangular yard, you can use the theorem to ensure the corners are square by measuring the diagonal. Additionally, it can be useful in design and construction projects to ensure right angles or when calculating dimensions for tiling or flooring. Overall, it helps in problem-solving situations that involve right triangles.