假设三角形ABC~三角形GHI,比例因子为3:5,AB = 9,BC = 18,AC = 21。三角形GHI的周长是多少?

假设三角形ABC~三角形GHI,比例因子为3:5,AB = 9,BC = 18,AC = 21。三角形GHI的周长是多少?
Anonim

回答:

#COLOR(白色)(XXXX)80#

说明:

#COLOR(白色)(XX)| AB | / | GH | = 3/5#

#=>颜色(红色)9 / | GH | = 3/5#

#=> | GH | = 15#

#COLOR(白色)(XX)| BC | / | HI | = 3/5#

#=>颜色(红色)18 / | HI | = 3/5#

#=> | HI | = 30#

#COLOR(白色)(XX)| AC | / | GI | = 3/5#

#=>颜色(红色)21 / | GI | = 3/5#

#=> | GI | = 35#

因此周长是:

#COLOR(白色)(XX)| GH | + | HI | + | GI | = 15 + 30 + 35#

#COLOR(白色)(XXXXXXXXXXXXXXX)= 80#