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TNNG

  • one year ago

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

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  1. TNNG
    • one year ago
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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

  2. terenzreignz
    • one year ago
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    Law of Cosines?

  3. geerky42
    • one year ago
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    Yes.

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

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

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

  7. geerky42
    • one year ago
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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.

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

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

  10. TNNG
    • one year ago
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    the law of sines

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

  12. geerky42
    • one year ago
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    Familiar with it?

  13. TNNG
    • one year ago
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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

  14. terenzreignz
    • one year ago
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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.

  15. geerky42
    • one year ago
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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?

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

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

  18. geerky42
    • one year ago
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    Yes.

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

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

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

  22. TNNG
    • one year ago
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    is the angle 25.5

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

  24. TNNG
    • one year ago
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    115.5

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

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

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

  28. TNNG
    • one year ago
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    118.5

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

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

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

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