explain three ways the Byzantine Empire influenced later civlizations, including russia

Answer 1

religion -- Eastern Orthodox
Cyrillic alphabet

What else can you find?

Answer 2

Is Russia a civilization? Personally, as a civilization, I would group Russia in the area of Eastern Europe (in language, morals, infastructure, religion, and social fabric).

The Byzantine Empire left a legacy of language, diplomacy, art, and trade pacts. REad the article here:
http://en.wikipedia.org/wiki/Byzantine_Empire#Culture