Question

what three numbers are the Pythagorean triple generated by using 4 for X and 1 for Y. Remember to use formulasa= X2-y2, b=2xy, and c=X2+y2answer choicesa. 6,8 and 10b. 5, 11 and 12c. 3,5 and 8d. 8, 15 and 17

Answer 1

8, 15 and 17 (option D)

Explanation:

x = 4

y = 1

a = x² - y²

b = 2xy

c = x² + y²

We will substitute for 4 for x and 1 for y in a, b, c respectively:

$\begin{gathered} a=4^2-1^2\text{ } \\ a\text{ = 16 - 1 = 15} \\ \\ b\text{ = 2(4)(1)} \\ b\text{ = 8} \\ \\ c=4^2+1^2 \\ c=16+1\text{ = }17 \end{gathered}$

Hence, the pythagorean triple generated are 8, 15 and 17 (option D)