anonymous
  • anonymous
can someone please help me with this geometry question?? in right triangle ACE, line BD is parallel to line AE, and line BD is perpendicular to line EC at D. the length of line BD is 3 feet, and the length of line CD is 4 feet. what is the length in feet of line AE
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
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jim_thompson5910
  • jim_thompson5910
First you need to find BC
jim_thompson5910
  • jim_thompson5910
do you know how to do this?

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anonymous
  • anonymous
is bc 5?
jim_thompson5910
  • jim_thompson5910
good
jim_thompson5910
  • jim_thompson5910
now set up the following ratio AE/BD = AC/BC x/3 = 20/5 solve for x
anonymous
  • anonymous
12
jim_thompson5910
  • jim_thompson5910
you got it
anonymous
  • anonymous
but why do u set up a ratio?
jim_thompson5910
  • jim_thompson5910
because the ratio of AE to BD is the same as the ratio of AC to BC
jim_thompson5910
  • jim_thompson5910
basically, to go from BD to AE, you multiply by 4 to go from BC to AC, you also multiply by 4
jim_thompson5910
  • jim_thompson5910
so the bigger triangle has side lengths that are 4 times larger than the smaller triangle
jim_thompson5910
  • jim_thompson5910
setting up a ratio is similar to that idea
anonymous
  • anonymous
oh ok i get it! thank you for your help
jim_thompson5910
  • jim_thompson5910
np

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