Предмет: Математика, автор: Vonamor

из середины D стороны BC равностороннего треугольника ABC проведен перпендикуляр DM к прямой AC. найдите AM, если AB=12см.

Ответы

Автор ответа: Yena

0

рассмотрим треугольик DCM он прямоугольный так как DM перпендикуляр, угол С=60 Так как треугольник равносторонний, следовательно угол CDM =30. Тогда катет лежащий против угла в 30 в 2 раза меньше гипотенузы DC=1/2АВ, DC=6, значит МС=3 см

Тогда АМ=АС-МС АМ=12-3=9 см

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