Question

Write a Pythagorean triplet whose one member is $16$ :

• A. $25,49$
  
• B. $25,61$
  
• C. $63,65$
  
• D. None of these
  

Answer 1

Answer: (C)

$63,65$

Let us assume 2 m = 16 then m=8
Now $m^2+1=8^2+1=64+1=65$
And $m^2-1=8^2-1=64-1=63$
Test : ${16}^2+{63}^2=256+3969=4225={65}^2$
Hence the triplet is 16,63, and 65 Answer