How does the event depicted in the painting reflect the fall of the bryzantine empire?

Because is depicted the invasion of Constantinople (the Capital of the Byzantine Empire) with the enemy army, in this case, the Otomans, climbing the walls while the Byzantine soldiers attempt to protect the city.

Explanation:

By the mid-fifteenth century, the Byzantine Empire had been in decline for a long time but remained an important bastion of Christian Europe facing Muslim Asia. The Ottoman Turks, in their turn, met resistance only in Constantinople. To them, the city had enormous prestige, both as a center of Christian faith as a symbol of imperial power. Its fall had repercussions throughout Christendom and marked the end of the European Middle Ages.

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