Предмет: Математика, автор: insideme3

В треугольнике ABC с прямым углом A прямая, перпендикулярная стороне AC, пересекает стороны AC и BC в точке D и E соответственно. Найдите длину отрезка ED, если AB=33, BE=20, BC=60

Ответы

Автор ответа: Veteran2016

Треугольники АВС и DЕС подобны по двум углам:
углы А и СDЕ прямые, а угол С общий.
Поэтому ED/AB=EC/ВС;
ED=AB*EC/ВС=AB*(ВС-ВЕ)/(BC-BE) = 33*(60-20)/60 = 22.

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