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Ambition

  • 3 years ago

State whether the given measurements determine zero, one, or two triangles. A = 61°, a = 23, b = 24

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  1. RadEn
    • 3 years ago
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    first, to get the measure of angle B, use the law of sine : a sinB = b sinA sinB = b sinA/a = 24*sin61°/23 = .... ?

  2. RadEn
    • 3 years ago
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    after u got the value of sinB, take arc(sin) to get angle B and dont forget use ur calculator :)

  3. Ambition
    • 3 years ago
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    @RadEn calculator is broken

  4. RadEn
    • 3 years ago
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    well, in my laptop it says the value of sin61 = 0.874

  5. RadEn
    • 3 years ago
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    so, what 24 * 0.874° / 23 is = ...

  6. Ambition
    • 3 years ago
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    @RadEn 0.912?

  7. RadEn
    • 3 years ago
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    hehe, used calculator yea ?? :P

  8. RadEn
    • 3 years ago
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    but, that's right

  9. Ambition
    • 3 years ago
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    @RadEn no just used pen and paper

  10. RadEn
    • 3 years ago
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    cool, it is hard for me :)

  11. RadEn
    • 3 years ago
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    okay, then we have to fine angle B sinB = 0.192 B = arc(sin(0.192)) = 11.069 degrees = 11.07 deg (it is nearest)

  12. RadEn
    • 3 years ago
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    *find

  13. RadEn
    • 3 years ago
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    what's else ?

  14. Ambition
    • 3 years ago
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    @RadEn find if there is one or two triangles

  15. RadEn
    • 3 years ago
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    i think it is just one triangle, by verify the measure of angle C C = 180 - (A+B) C = 180 - (61+11.07) C = 180 - 72.07 C = 107.93 degrees only one possible for angle C

  16. RadEn
    • 3 years ago
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    do u need the length of side c ??

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