This is the 910th most frequent Ukrainian word.
досягли
"Досягли" means "achieved" in English.
In this sentence, 'досягли' is used to indicate the achievement of a physical goal, like reaching the top.
Ми досягли вершини гори.
We reached the mountain summit.
Here, 'досягли' illustrates reaching an abstract accomplishment, namely progress in a theoretical area.
Вони досягли значного прогресу в своїх дослідженнях.
They achieved significant progress in their research.
In this context, 'досягли' is used to show attaining a peak performance or breaking records.