Question

Which of the following sets of numbers form a Pythagorean triplet?​

Answer 1

Answer:

pythagorean triplet is 3, 4 and 5

Step-by-step explanation:

A Pythagorean triple consists of three positive integers a, b, and c, such that a² + b² = c².

pythagorean triplet is 3, 4 and 5

let a = 3

b = 4

c = 5

a² + b² = c².

${3}^{2} + {4}^{2} = {5}^{2}$

9 + 16 = 25

25 = 25

Hope it's helpful for you :)

Answer 2

$\huge{\textsf{\textbf{\color{teal}{Question }}}}$

Which of the following sets of numbers form a Pythagorean triplet?

$\huge{\textsf{\textbf{\color{teal}{Answer }}}}$

A Pythagorean triple consists of three positive integers a, b, and c, such that a² + b² = c². Such a triple is commonly written, and a well-known example is. If is a Pythagorean triple, then so is for any positive integer k. A primitive Pythagorean triple is one in which a, b and c are coprime. Integer triples which satisfy this equation are Pythagorean triples. The most well known examples are (3,4,5) and (5,12,13). Notice we can multiple the entries in a triple by any integer and get another triple. For example (6,8,10), (9,12,15) and (15,20,25).

$\huge{\textsf{\textbf{\color{teal}{Example }}}}$

Here in the example also we have to find the hypotenuse side

${a}^{2} + {b}^{2} = {c}^{2} \\\ {8}^{2} + {15}^{2} = {c}^{2} \\ 64 + 225 = {c}^{2} \\ \sqrt{289} = {c} \\ c = 17$