Question

If one member of Pythagorean triplets is 2m then other then other two members are:m,m^2+1,m^2-1,m^2+1,m^2,m^2-1,m^2,m^2+1​

Answer 1

Step-by-step explanation:

If one member of Pythagorean triplet is 2m then other then other two members are

Answer 2

Answer:

The other two members are m²+1, m²-1.

Step-by-step explanation:

Given, one member of a pythagorean triplet is 2m.

We have to find the other two numbers.

Pythagorean triples formula is used to find the triples or group of three terms that satisfy the pythagorean theorem.

For every natural number m > 1, 2m, m² - 1 and m² + 1 form a pythagorean triplet.

Other two members are m² - 1 and m² + 1

Example: Consider 2m = 4

m = $\frac{4}{2}$

$m = 2$

So, ${m}^{2} - 1 = {2}^{2} - 1$

= 4 - 1= 3

So, ${m}^{2} + 1 = {2}^{2} + 1$

= 4 + 1

= 5

The pythagorean triplet is 3, 4, 5.

Therefore, the other two members are m²+1, m²-1