Question 928339
Triangle {{{ABC}}} is similar to triangle {{{DEF}}}.=> sides are proportional


 The perimeter of {{{DEF}}} is {{{108}}} centimeters. 

What is the length of FD

if given:
{{{AC = 15}}}
{{{AB = 35}}}
{{{BC = 40}}}

=>The perimeter of {{{ABC}}} is {{{15+35+40=90}}} centimeters

then ratio between perimeters will be ratio between sides to; so, find that ratio

{{{r=108/90=1.2}}}

then sides will be:

{{{highlight(FD)=1.2*AC = 1.2*15=highlight(18)}}}

{{{EF=1.2*BC = 1.2*40=48}}}

{{{DE=1.2*AB = 1.2*35=42}}}

check the perimeter:{{{18+48+42=108}}}=>{{{108=108}}}