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a1234

  • one year ago

Are the answers 8 and 10?

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  1. a1234
    • one year ago
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  2. anonymous
    • one year ago
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    I think so.

  3. amistre64
    • one year ago
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    how do you come to 8 and 10?

  4. amistre64
    • one year ago
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    18+9 = 27, not 29

  5. a1234
    • one year ago
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    I thought those are 30-60-90 Triangles, so the hypotenuse would be twice the short side.

  6. a1234
    • one year ago
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    How is the answer 27?

  7. amistre64
    • one year ago
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    the perimeter is 29 4+5+10+8 = 27, not 29

  8. amistre64
    • one year ago
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    why would you think its a 30-60-90? nothing indicates to me that that is the case

  9. a1234
    • one year ago
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    Ok...then how do I find AC and AB?

  10. amistre64
    • one year ago
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    still working on that ... do you ahve options?

  11. a1234
    • one year ago
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    No options

  12. amistre64
    • one year ago
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    hmm, all i know at the moment is that 10 and 8 dont work out for the stated perimeter. do you agree?

  13. amistre64
    • one year ago
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    do we know law of sines?

  14. a1234
    • one year ago
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    Yes, 10 and 8 don't work

  15. a1234
    • one year ago
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    But there are no angles for the Law of Sines

  16. amistre64
    • one year ago
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    im wondering if we can use them in a general sense tho, i havent got a clear approach yet.

  17. amistre64
    • one year ago
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    other than assuming a 30=60-90 what else are you thinking of?

  18. a1234
    • one year ago
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    I'm wondering if we can use this theorem: An angle bisector of a triangle divides the opposite side into two segments whose lengths are proportional to the lengths of the two other sides.

  19. amistre64
    • one year ago
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    sounds reasonable: so the ratio is 5:4, therefore 5k + 4k + 9 = 29 what is k?

  20. a1234
    • one year ago
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    k is 2.2

  21. amistre64
    • one year ago
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    i was working out something like sin(a')/5 = sin(c)/(ad) sin(a')/4 = sin(b)/(ad) (ad) sin(a') = 5sin(c) (ad) sin(a') = 4sin(b) 5 sin(c) = 4 sin(b) sin(b)/4 = sin(c)/5 = sin(a)/9

  22. amistre64
    • one year ago
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    20/9 is a more exact number

  23. amistre64
    • one year ago
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    (5(20)+ 4(20) + 81)/9 (180 + 81)/9 261/9 = 29 of course

  24. a1234
    • one year ago
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    Ok. Thanks!

  25. amistre64
    • one year ago
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    as long as your thrm is good, that should be it ... me and geometry thrms are not on speaking terms :)

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