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TNNG

  • 2 years ago

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

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  1. TNNG
    • 2 years 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
    • 2 years ago
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    Law of Cosines?

  3. geerky42
    • 2 years ago
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    Yes.

  4. terenzreignz
    • 2 years ago
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    You arrived at a solution, @TNNG ?

  5. geerky42
    • 2 years 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
    • 2 years ago
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    ok so just use to law of cosines and i should get the answer

  7. geerky42
    • 2 years 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
    • 2 years ago
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    i don't get it i got the D for my answer is that correct

  9. geerky42
    • 2 years ago
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    What don't you get?

  10. TNNG
    • 2 years ago
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    the law of sines

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

  12. geerky42
    • 2 years ago
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    Familiar with it?

  13. TNNG
    • 2 years 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
    • 2 years 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
    • 2 years 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
    • 2 years ago
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    The law of tangents is really cumbersome compared to the law of cosines :P

  17. TNNG
    • 2 years ago
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    ok so i know b=27.5

  18. geerky42
    • 2 years ago
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    Yes.

  19. TNNG
    • 2 years ago
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    so figure out that a = 28.5

  20. geerky42
    • 2 years 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
    • 2 years 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
    • 2 years ago
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    is the angle 25.5

  23. geerky42
    • 2 years ago
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    None, not what I get.

  24. TNNG
    • 2 years ago
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    115.5

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

  26. geerky42
    • 2 years 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
    • 2 years ago
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    180º - (A + C) = B

  28. TNNG
    • 2 years ago
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    118.5

  29. TNNG
    • 2 years ago
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    so i had it right the first time

  30. geerky42
    • 2 years ago
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    Yes! Is this clear?

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

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