In what ways did the waves of invasions by vikings, muslims, and magyars affect the people of medieval europe ?

There's multiple ways in which medieval Europe was affected by the three invasions, all coming from different sides, with different strategies and different goals.

The Viking invasion was both positive and negative, the positive being the accumulated knowledge about sea travel and ship construction, the negative being the occupation of important trading spots.

The Muslim invasion in general contributed to bigger unity among the Christian countries in Europe in order to preserve their religion and culture.

The Magyar and Szekely invasion contributed physical cultural separation of Central and Western Europe with the Balkans, but was positive for multiple smaller groups of people that were remnants of earlier empires, like the Avars, Huns, Kumans, who were incorporated into the new country and managed to survive on the European soil.

tenochtitlan (also spelled tenochtitlán), located on an island near the western shore of lake texcoco in central mexico, was the capital city and religious centre of the aztec civilization. the traditional founding date of the city was 1345 ce and it remained the most important aztec centre until its destruction at the hands of the conquering spanish led by hernán cortés in 1521 ce, which led to the final collapse of the aztec empire.

russia because it is the biggest state