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ashleyb Group Title

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

  • one year ago
  • one year ago

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  1. ashleyb Group Title
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    |dw:1360370433442:dw|

    • one year ago
  2. jim_thompson5910 Group Title
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    First you need to find BC

    • one year ago
  3. jim_thompson5910 Group Title
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    do you know how to do this?

    • one year ago
  4. ashleyb Group Title
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    is bc 5?

    • one year ago
  5. jim_thompson5910 Group Title
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    good

    • one year ago
  6. jim_thompson5910 Group Title
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    now set up the following ratio AE/BD = AC/BC x/3 = 20/5 solve for x

    • one year ago
  7. ashleyb Group Title
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    12

    • one year ago
  8. jim_thompson5910 Group Title
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    you got it

    • one year ago
  9. ashleyb Group Title
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    but why do u set up a ratio?

    • one year ago
  10. jim_thompson5910 Group Title
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    because the ratio of AE to BD is the same as the ratio of AC to BC

    • one year ago
  11. jim_thompson5910 Group Title
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    basically, to go from BD to AE, you multiply by 4 to go from BC to AC, you also multiply by 4

    • one year ago
  12. jim_thompson5910 Group Title
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    so the bigger triangle has side lengths that are 4 times larger than the smaller triangle

    • one year ago
  13. jim_thompson5910 Group Title
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    setting up a ratio is similar to that idea

    • one year ago
  14. ashleyb Group Title
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    oh ok i get it! thank you for your help

    • one year ago
  15. jim_thompson5910 Group Title
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    np

    • one year ago
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