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

i, ii, iv

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 \\eq 6724`

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