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ashleyb

  • one year ago

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

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  1. ashleyb
    • one year ago
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    |dw:1360370433442:dw|

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

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

  4. ashleyb
    • one year ago
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    is bc 5?

  5. jim_thompson5910
    • one year ago
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    good

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

  7. ashleyb
    • one year ago
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    12

  8. jim_thompson5910
    • one year ago
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    you got it

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

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

  11. jim_thompson5910
    • one year ago
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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

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

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

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

  15. jim_thompson5910
    • one year ago
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    np

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