Question

Is it possible to confirm that a triplet is a pythagorean triplet without using pythagorean theorem ? please explain

Answer 1

hye

=====================================

yes ,u can  confirm that a triplet is a pythagorean triplet without using pythagorean theorem.

there is another method 

=>odd:  a² = b+c
    even = a²/2 = b+c

this is the fromula

explanation:-
the 1st one that is odd:  a ²= b+c should be used when the smaleest number out of the triplet is odd


for example-  is [5,12 13] is a pythogorean triplet?

we take the formula  a ²= b+c as the smallest odd number is 5

=>5²=12+13
=>25 = 25

∴it is a pythogorean triplet

-------------------

the second formula [even = a²/2 = b+c] should be used when the samleest number form the triplet is even]

example - [is 6 ,8,10] a pythogorean triplet?

=> [even = a²/2 = b+c] since 6 ,

=> 6²/2 = 8*10

=>36/2 = 18

=>18=18

=========================

hope it helps u...............

Answer 2

Answer:

The earliest cosmological models of the universe were developed by ancient Greek and Indian philosophers and were geocentric, placing Earth at the center.[11][12] Over the centuries, more precise astronomical observations led Nicolaus Copernicus to develop the heliocentric model with the Sun at the center of the Solar System. In developing the law of universal gravitation, Isaac Newton built upon Copernicus's work as well as Johannes Kepler's laws of planetary motion and observations by Tycho Brahe.