Question

Write the Pythagorean triplet whose one member is $24$.

• A. $143$ and $145$
• B. $133$ and $144$
• C. $112$ and $115$
• D. $324$ and $325$

Answer 1

Answer: (A)

$143$ and $145$

Using $2m,m^2+1,m^2-1$ forms

Let us take $2m=24$

$m=\frac{24}{2}=12$

if $m=12,m^2-1={12}^2=144-1=143$

if $m=12,m^2+1={12}^2=144+1=145$

Therefore, option A is the correct answer.