phukankrishna238
phukankrishna238 phukankrishna238
  • 17-11-2020
  • Mathematics
contestada

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

Respuesta :

mirai123
mirai123 mirai123
  • 17-11-2020

Answer:

i, ii, iv

Step-by-step explanation:

A Pythagorean triplet satisfies the relation:

[tex]\boxed{a^2+b^2=c^2}[/tex]

[tex]10^2+24^2=26^2\\100+576 = 676\\676 = 676[/tex]

[tex]14^2+48^2=50^2\\196+2304= 2500\\2500= 2500[/tex]

[tex]18^2+79^2=82^2\\324+6241= 6724\\6565 \neq 6724[/tex]

[tex]22^2+120^2=122^2\\484+14400 = 14884 \\14884 = 14884[/tex]

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