SOLUTION: Triangle ABC is similar to triangle DEF. The perimeter of DEF is 108 centimeters. What is the length of FD AC = 15 AB = 35 BC = 40

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Question 928339: Triangle ABC is similar to triangle DEF. The perimeter of DEF is 108 centimeters. What is the length of FD
AC = 15
AB = 35
BC = 40
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
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%2B35%2B40=90 centimeters
then ratio between perimeters will be ratio between sides to; so, find that ratio
r=108%2F90=1.2
then sides will be:
highlight%28FD%29=1.2%2AAC+=+1.2%2A15=highlight%2818%29
EF=1.2%2ABC+=+1.2%2A40=48
DE=1.2%2AAB+=+1.2%2A35=42
check the perimeter:18%2B48%2B42=108=>108=108