please clear my doubt how to find triplets I always confuse I ask before also but no one can give the right answer please clear my doubt
Answers
may it helps you.
thank you may you have a nice day.
Step-by-step explanation:
Numbers in the Pythagoras triplet represent in the form 2m, m² - 1 and m² + 1.
Let's take an example to understand this.
Let's find the triplet of 12. Assume that 2m is equal to 12. So,
→ 2m = 12
→ m = 12/2
→ m = 6
Similarly,
→ m² - 1 = 12
→ m² = 12 + 1
→ m² = 13 (Since, 13 is not the square number. So, it's not possible.)
From above we have m is 6. So, let's find triplet for m = 6.
1st number = 2m = 2(6) = 12
2nd number = m² - 1 = (6)² - 1 = 36 - 1 = 35
3rd number = m² + 1 = (6)² + 1 = 36 + 1 = 37
Therefore, the Pythagoras triplet of 12 is 12, 35, 37.
In short: Pythagoras triplet represent in the form 2m, m² - 1 and m² + 1. Assume that given number is equal to 2m. From there we'll get the value of m. But when me put the given number equal to m² - 1 and m² + 1 we don't get the square number. Which means that's impossible. So, instead of putting them equal we substitute the value of m in m² - 1 and m² + 1, to find the second & third number of pythagoras triplet.