Is My Time Dilation Equation Correct?

[svijay1991]

here's a simple one with graphics:

http://www.phinds.com/time%20dilation/

hello phinds

I have attached one picture to this and i tried to derive equation for time dilation from that.
please see and tell whether it is right or not ?

 

[phinds]

hello phinds

I have attached one picture to this and i tried to derive equation for time dilation from that.
please see and tell whether it is right or not ?

Looks right to me, and not surprizing, since it's the standard formula although I think it's normally expressed in terms of T, not in terms of t