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anonymous

  • one year ago

Suppose angle A=pi/4 radians and length of b=3

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  1. anonymous
    • one year ago
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  2. anonymous
    • one year ago
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    since angle a is pi/4 radians angle a is 45 degrees

  3. anonymous
    • one year ago
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    and angle b is 45 degrees

  4. hartnn
    • one year ago
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    ohh i like pi/4 angle the angles become congruent and 2 sides become equal :P

  5. anonymous
    • one year ago
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    :D I set up tan45=a/3

  6. anonymous
    • one year ago
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    and got that a=3

  7. hartnn
    • one year ago
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    correct

  8. anonymous
    • one year ago
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    since it's a 45-45-90 triangle a and b are both 3

  9. hartnn
    • one year ago
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    agreed

  10. anonymous
    • one year ago
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    so 3^2+3^2=c^2, 9+9=c^2, 18=c^2 i'm not sure if we need to get square root of 18

  11. hartnn
    • one year ago
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    ok, lets use a trig function then find sin A or sin B

  12. anonymous
    • one year ago
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    so sin(45)=3/c, c=3*sin45 which is 2.12

  13. hartnn
    • one year ago
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    you can keep it as \(3/ \sqrt 2\)

  14. anonymous
    • one year ago
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    where did we get the 3/sqrt of 2 from? lol

  15. hartnn
    • one year ago
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    because it is mentioned, "no decimals"

  16. hartnn
    • one year ago
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    sin 45 = 1/\(\sqrt 2\) 3 sin 45 = 3/\(\sqrt 2\)

  17. anonymous
    • one year ago
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    sin of 45 =sqrt(2)/2..

  18. hartnn
    • one year ago
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    |dw:1443980994981:dw|

  19. anonymous
    • one year ago
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    hmm a little confused why we are multiplying by 2 :/

  20. hartnn
    • one year ago
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    we're braking 2 as \(\sqrt 2 \times \sqrt 2 \) if thats confusing you, you can keep the answer as \(3\sqrt 2/2 \) also

  21. anonymous
    • one year ago
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    so the length of a should be 3,

  22. hartnn
    • one year ago
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    length of a was always 3... i though we were talking about length of c

  23. anonymous
    • one year ago
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    Yea I'm just clarifying :)

  24. anonymous
    • one year ago
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    and length of c=3sqrt(2)/2?

  25. anonymous
    • one year ago
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    for some reason it's saying that c isn't correct

  26. hartnn
    • one year ago
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    try 3/ \(\sqrt 2\) once?

  27. anonymous
    • one year ago
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    so since I got it wrong it gave me the same problem expect a=6

  28. hartnn
    • one year ago
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    oh wait! sin A = a/c c = a/ sin A = 3/ sin 45 = 3 sqrt 2 :P

  29. hartnn
    • one year ago
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    now it'll be 6 sqrt 2

  30. hartnn
    • one year ago
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    \(6\sqrt 2\)

  31. anonymous
    • one year ago
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    and b would just equal 6 because they are 45-45-90

  32. hartnn
    • one year ago
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    correct!

  33. anonymous
    • one year ago
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    yay :D it's right thank you

  34. Mertsj
    • one year ago
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    Since it is an isosceles triangle and b = 3, then a = 3 and the hypotenuse= 3sqrt2 and both A & B are pi/4 radians

  35. hartnn
    • one year ago
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    ^^

  36. anonymous
    • one year ago
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    Mertsj, thank you for the information :)

  37. Mertsj
    • one year ago
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    yw

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