Question

write the pythagorean triplets where one number is 15

Answer 1

Answer:

8, 17, 15

Step-by-step explanation:

either 15 is

2m = 15

or m² + 1 = 15

or m² - 1 = 15

so m² = 15 + 1

m² = 16

m = 4

so 2m = 8

m² + 1 = 16 + 1 = 17

Answer 2

Given: A number is$15$.

We have to write Pythagorean triplets where one number is$15$.

• As we know that a Pythagorean triple consists of three positive integers a, b, and c, such that$a^2 + b^2 = c^2.$
• Such a triple is commonly written (a, b, c), and a well-known example is (3, 4, 5).
• A triangle whose sides form a Pythagorean triple is called a Pythagorean triangle and is necessarily a right triangle.

We are solving in the following way:

We have,

A number is$15$.

First, we will take$2n=15$

So $n=n/2$ is not possible

$n ^2-1=15$

By further calculation:

$n ^2=15+1=>16=>4^2 n=4$

So we get,

$\begin{array}{l}2 n=2 \times 4=8 \\n^{2}-1=15 \\n^{2}+1=4^{2}+1=16+1=17\end{array}$

Therefore, the triplets are$8,15,\ and\ 17.$

Hence, the Pythagorean triplets are$8,15,\ and\ 17.$