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TNNG Group Title

Solve the triangle. B = 36°, a = 41, c = 20

  • one year ago
  • one year ago

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  1. TNNG Group Title
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    b ≈ 27.5, C ≈ 115.5, A ≈ 28.5 b ≈ 45.3, C ≈ 25.5, A ≈ 118.5 b ≈ 45.3, C ≈ 29.5, A ≈ 114.5 b ≈ 27.5, C ≈ 25.5, A ≈ 118.5

    • one year ago
  2. terenzreignz Group Title
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    Law of Cosines?

    • one year ago
  3. geerky42 Group Title
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    Yes.

    • one year ago
  4. terenzreignz Group Title
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    You arrived at a solution, @TNNG ?

    • one year ago
  5. geerky42 Group Title
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    Use law of cosines to find b then use law of sines to find the rest of angles.

    • one year ago
  6. TNNG Group Title
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    ok so just use to law of cosines and i should get the answer

    • one year ago
  7. geerky42 Group Title
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    Well, you're not finished, since you still have to find A and C so use law of sines for this.

    • one year ago
  8. TNNG Group Title
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    i don't get it i got the D for my answer is that correct

    • one year ago
  9. geerky42 Group Title
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    What don't you get?

    • one year ago
  10. TNNG Group Title
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    the law of sines

    • one year ago
  11. geerky42 Group Title
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    The Law of Sines: \(\Large \dfrac{\sin A}{a} =\dfrac{\sin B}{b} =\dfrac{\sin C}{c}\)

    • one year ago
  12. geerky42 Group Title
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    Familiar with it?

    • one year ago
  13. TNNG Group Title
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    i know that but i don't get how to plug it is plus i tried it again and got Choice B

    • one year ago
  14. terenzreignz Group Title
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    Well, you could certainly use the law of Cosines to arrive at all the other missing parts of the triangle, but that's really cumbersome, compared to the simpler looking law of sines.

    • one year ago
  15. geerky42 Group Title
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    Yeah, it's only way to find the b. You just have to use it once, then use law of sines and you're good to go. You don't have to use entire formula, just use part of it, like \(\dfrac{\sin B}{b} = \dfrac{\sin C}{c}\) Is this clear?

    • one year ago
  16. geerky42 Group Title
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    The law of tangents is really cumbersome compared to the law of cosines :P

    • one year ago
  17. TNNG Group Title
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    ok so i know b=27.5

    • one year ago
  18. geerky42 Group Title
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    Yes.

    • one year ago
  19. TNNG Group Title
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    so figure out that a = 28.5

    • one year ago
  20. geerky42 Group Title
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    No, no, you already have the given value of a, so just use law of sines to find the angle.

    • one year ago
  21. geerky42 Group Title
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    Now you know a, b, c, and B. Now all you need to do is find A and C.

    • one year ago
  22. TNNG Group Title
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    is the angle 25.5

    • one year ago
  23. geerky42 Group Title
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    None, not what I get.

    • one year ago
  24. TNNG Group Title
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    115.5

    • one year ago
  25. pooja195 Group Title
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    b^2 = a^2 + c^2 - 2accosB b = 27.5

    • one year ago
  26. geerky42 Group Title
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    Wait, you're right, angle C is close to 25.5º. My bad. Now find the other angle.

    • one year ago
  27. geerky42 Group Title
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    180º - (A + C) = B

    • one year ago
  28. TNNG Group Title
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    118.5

    • one year ago
  29. TNNG Group Title
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    so i had it right the first time

    • one year ago
  30. geerky42 Group Title
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    Yes! Is this clear?

    • one year ago
  31. geerky42 Group Title
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    You have to do math, though. You can't just guess. Just saying.

    • one year ago
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