Предмет: Геометрия, автор: nikysia2012

помогитеееее срочно, плииииз!!!

Найдите высоту равнобедренного прямоугольного треугольника, опущенную из вершины прямого угла, если катет равен c.
пожалуйста подробно напишите что рассматриваем, что чему равно.

Ответы

Автор ответа: deemetraa
2
Пусть АВС - прямоугольный треуг, угол С=90гр, высота СД.
Высота делит прямоуг. треуг. на 2 подобных треуг (по стороне и двум прилежащим углам): АВС подобен АСД, АВС подобен СВД.
Следствие: Высота прямоуг. треуг есть среднее пропорциональное для отрезков, на которые делится гипотенуза этой высотой, то бишь СД=корень из АД*ДВ.

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