Question

7. Which of the following triplets are
Pythagorean?
a)(8,15,17)
b)(12,35,38)
c.(14,48,51)​

Answer 1

Answer:

(8,15,17) is the pythagorean triplet.

Step-by-step explanation:

The triplets are of form(a,b,c).

a²+b²=c²

a) 8²+15² = 64+225 = 289 = 17²

∴(8,15,17) is a pythagorean triplet.

b) 12²+35² = 144+1225 = 1369 ≠ 38² (∵38²=1444)

∴(12,35,38) is not a pythagorean triplet.

c) 14²+48² = 196+ 2304 = 2500 ≠ 51² (∵51²= 2601)

∴(14,48,51) is not a pythagorean triplet.

∴In the above following, (8,15,17) is the only pythagorean triplet.