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kenneyfamily

If A=42.2degrees, B= 13.6degrees, and a=41.3, find area of triangle ABC

  • one year ago
  • one year ago

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  1. jayz657
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    we need to see how the triangle looks like otherwise we cant say anything about it

    • one year ago
  2. zepdrix
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    |dw:1353222533411:dw| Hmm i don't think it really matters what it looks like :D we have 3 pieces, angle angle side, so we should be able to figure something out. hmmmmmmmm This is not drawn to scale, so my bad :3 just to give us a rough idea. Angle B should be much smaller though :)

    • one year ago
  3. zepdrix
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    Area, hmmmmmmmm I'm trying to rememberrrrr :3

    • one year ago
  4. jayz657
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    area of triangle = bh/2 how do you know what the height is?

    • one year ago
  5. kenneyfamily
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    nope :(

    • one year ago
  6. zepdrix
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    We could use the information we have, solve for the missing sides using the law of sines or cosines or something, and then apply heron's formula... I'm not sure that is the most efficient way though XD hehe

    • one year ago
  7. kenneyfamily
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    a)138.8 b)327.4 c)493.8 d)246.9 those are my choices

    • one year ago
  8. Dido525
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    @zepdrix : Just use Tan to find the height and then use the triangle area formula.

    • one year ago
  9. Dido525
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    Ohh wait. It's not a right angle triangle.

    • one year ago
  10. zepdrix
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    Yah :c

    • one year ago
  11. Dido525
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    Use the law of sines then. Lot easier.

    • one year ago
  12. Dido525
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    |dw:1353223094929:dw|

    • one year ago
  13. Dido525
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    Solve for b which is the height and then you have everything else.

    • one year ago
  14. kenneyfamily
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    36.292 is the height right?

    • one year ago
  15. kenneyfamily
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    is 41.3 the base?

    • one year ago
  16. kenneyfamily
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    hmm thats not right

    • one year ago
  17. jayz657
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    we do not know the height so use this formula Area = 1/2 ab sin(c) we need a side so use law of sines 41.3/sin(42.2) = b /sin(13.6) b = 14.4575 angle c = 180 - 42.2 - 13.6 = area = 1/2(41.3)(14.4575)sin(124.2) area = 246.93 so is D

    • one year ago
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