如图,若AB/AD=AC/AE=BC/DE=3/2,且△ABC周长为36cm,则三角形ADE的周长是````````````````````

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如图,若AB/AD=AC/AE=BC/DE=3/2,且△ABC周长为36cm,则三角形ADE的周长是````````````````````

如图,若AB/AD=AC/AE=BC/DE=3/2,且△ABC周长为36cm,则三角形ADE的周长是````````````````````
如图,若AB/AD=AC/AE=BC/DE=3/2,且△ABC周长为36cm,则三角形ADE的周长是
````````````````````

如图,若AB/AD=AC/AE=BC/DE=3/2,且△ABC周长为36cm,则三角形ADE的周长是````````````````````
∵AB/AD=AC/AE=BC/DE=3/2
∴△ABC相似于△ADE,相似比=3/2
∴△ABC的周长/△ADE的周长=3/2
∵△ABC的周长=36
∴△ADE的周长=36×2/3=24(cm)

24cm


∵AB/AD=AC/AE=BC/DE=3/2
∴AB=1.5AD,AC=1.5AE,BC=1.5DE
∴AB+AC+BC=1.5(AD+AE+DE)
即36=1.5(AD+AE+DE)
∴AD+AE+DE=24
即△ADE的周长=24cm