square triplets in maths

[chaitanya]

I want an example of sequence shown below,plz help:
1,24,120

1+24=25=5 square
24+120=144=12 square
120+1=121=11 square
A sequence such that summation of any two numbers should be a perfect square.

 

[stapel]

I want an example of sequence shown below,plz help:
1,24,120

1+24=25=5 square
24+120=144=12 square
120+1=121=11 square
A sequence such that summation of any two numbers should be a perfect square.

What have you tried? How far have you gotten? Where are you stuck?

(Also, you posted this to "Arithmetic" rather than to "Algebra" or "Advanced Math". Have you not studied algebra at all?)

Please be complete. Thank you!