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kenneyfamily

  • 2 years ago

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

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

  2. zepdrix
    • 2 years ago
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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 :)

  3. zepdrix
    • 2 years ago
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    Area, hmmmmmmmm I'm trying to rememberrrrr :3

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

  5. kenneyfamily
    • 2 years ago
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    nope :(

  6. zepdrix
    • 2 years ago
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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

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

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

  9. Dido525
    • 2 years ago
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    Ohh wait. It's not a right angle triangle.

  10. zepdrix
    • 2 years ago
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    Yah :c

  11. Dido525
    • 2 years ago
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    Use the law of sines then. Lot easier.

  12. Dido525
    • 2 years ago
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    |dw:1353223094929:dw|

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

  14. kenneyfamily
    • 2 years ago
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    36.292 is the height right?

  15. kenneyfamily
    • 2 years ago
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    is 41.3 the base?

  16. kenneyfamily
    • 2 years ago
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    hmm thats not right

  17. jayz657
    • 2 years ago
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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

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