в прямоугольном треугольнике с углом 45 градусов и гипотенузой 8 см проведены средние линии. найдите периметр треугольника, образованного средними линиями.
по т. Пифагора
8²=a²+a²
64=2a²
a=√32=4√2
сред. линия = 1/3 a
значит стороны тр-ка из сред. линий будут: 1/2*8=4, 1/2*4√2=2√2, 1/2*4√2=2√2
P=4+2√2+2√2=4+4√2 см
Автор:
orlandofischerДобавить свой ответ
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