Question

9. Which of the following triplets are Pythagorean?
(i) (10,24,26)
(ii) (14,48,50)
(iii) (18,79,82)
(iv) (22,120,122)​

Answer 1

Answer:

i, ii, iv

Step-by-step explanation:

A Pythagorean triplet satisfies the relation:

$\boxed{a^2+b^2=c^2}$

$10^2+24^2=26^2\\100+576 = 676\\676 = 676$

$14^2+48^2=50^2\\196+2304= 2500\\2500= 2500$

$18^2+79^2=82^2\\324+6241= 6724\\6565 \neq 6724$

$22^2+120^2=122^2\\484+14400 = 14884 \\14884 = 14884$