Problem about the trisection of an angle of isosceles triangle

[ADRT]

let ABC be an isosceles triangle , with ab=bc.....A trisector of angle B meets AC at D .....if AB, AC and BD are integers and AB-BD=3 . Find AC

 

[Dr.Peterson]

That sounds challenging. If you were assigned this, then you must know some advanced ideas that would be useful. What have you learned? And where does the problem come from?

Then, please tell us what you have tried, and where you need help. Keep in mind that we are not here to do the work for you, but to help. (And at the moment, I have no idea how to even start.)

Here is what I'm asking you to do:

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