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SugarMochi

  • one year ago

Someone please help me with this similarity question.

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  1. SugarMochi
    • one year ago
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    |dw:1444461992182:dw|

  2. SugarMochi
    • one year ago
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    The ratio of AB:BC is 1:3 The difference between AE and DE is 4 The ratio of AD to AC is 2:3 AE is 18 and BC is double AE If CD is 52, what is K

  3. madhu.mukherjee.946
    • one year ago
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    did you try anything?

  4. SugarMochi
    • one year ago
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    I'm confused with the question overall and the topic 'similarities' ;-;

  5. anonymous
    • one year ago
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    try solve all the angles. |dw:1444462802038:dw|

  6. anonymous
    • one year ago
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    i'll explain these lengths

  7. anonymous
    • one year ago
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    We know CD=52 AE =18 BC=2AE=2*18=36 Now the ratio of AB:BC is 1:3 Therefore AB=1/3 *BC=1/3 * 36 = 12 The ratio of AD to AC is 2:3 therefore AD= 2/3 * AC = 2/3 *(36+12) = 2/3 *48 = 32 Therefore we also know The difference between AE and DE is 4 AD=AE + ED hence ED=AD-AE=32-18 = 14 ( This is a true solution since AE-ED = 4)

  8. anonymous
    • one year ago
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    Now we know all our lengths. its just a matter of using similar techniques

  9. anonymous
    • one year ago
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    |dw:1444463067640:dw|

  10. anonymous
    • one year ago
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    lets find the scale factor. AC/AE = 48/18 = 8/3 AD/AB= 32/12 = 8/3 Hence our scale factor is 8/3

  11. anonymous
    • one year ago
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    Therefore CD/BE = 8/3 52/K = 8/3

  12. anonymous
    • one year ago
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    \[\frac{ 52 }{ K }=\frac{ 8 }{ 3 }\] \[K=19.5\]

  13. anonymous
    • one year ago
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    : )

  14. SugarMochi
    • one year ago
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    thanyou so much ;-; This really really saved me

  15. anonymous
    • one year ago
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    haha no problem : ) fan me if you need my assistance when ever i'm online

  16. SugarMochi
    • one year ago
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    Once again, thanyou so much~ This helped alot! :D

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