Предмет: Геометрия, автор: Аноним

1. :Через вершину В равнобедренного треугольника АВС параллельно основанию АС проведена прямая ВD. Через точку К – середину высоты ВH проведен луч АК, пересекающий прямую ВD в точке D, а сторону ВС в точке N. Определите, в каком отношении точка Nделит сторону ВС.

Ответы

Автор ответа: vajny

Треугольники АКH и ВКD равны по катету и острому углу. Значит BD = AH = AC/2.

Треугольники ANC и BND - подобны (все углы равны).

Значит BN/NC = BD/AC = 1/2.

Ответ: в отношении 1:2 , считая от вершины В.

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