Question

pythagorian triplets whose one number is 12
smallest number is 8
m =4

Answer 1

Answer:

Step-by-step explanation:

= 4  

4×4 = 16  

16+1= 17  

16-1=15  

therefore the triplets are 8,17,15

Answer 2

Answer:

Pythagorean Triplet is 8, 15 and 16

Step-by-step explanation:

To find Pythagorean triplet, we will use one formula :-

$\large{\star{}}$ $\boxed{\sf{2m,\: m^2 + 1,\: m^2 - 1}}$

Given :-

Value of 2m = 8

So, m = 4

To find :-

Pythagorean Triplet of 8

Solution :-

We got the value if m as 4

So,

$\large{\star{}}$ Value of m² - 1

By putting the value of m

➾ 4² - 1

➾ 16 - 1

➾ 15

$\large{\star{}}$ Value of m² + 1

➾ 4² + 1

➾ 16 + 1

➾ 17

∴ The Pythagorean Triplet is 8, 15 and 17

Verification :-

17² = 8² + 15²

➾ 289 = 64 + 225

➾ 289 = 289

∴ LHS = RHS