anonymous
  • anonymous
Solve the triangle. B = 36°, a = 41, c = 20
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
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
terenzreignz
  • terenzreignz
Law of Cosines?
geerky42
  • geerky42
Yes.

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terenzreignz
  • terenzreignz
You arrived at a solution, @TNNG ?
geerky42
  • geerky42
Use law of cosines to find b then use law of sines to find the rest of angles.
anonymous
  • anonymous
ok so just use to law of cosines and i should get the answer
geerky42
  • geerky42
Well, you're not finished, since you still have to find A and C so use law of sines for this.
anonymous
  • anonymous
i don't get it i got the D for my answer is that correct
geerky42
  • geerky42
What don't you get?
anonymous
  • anonymous
the law of sines
geerky42
  • geerky42
The Law of Sines: \(\Large \dfrac{\sin A}{a} =\dfrac{\sin B}{b} =\dfrac{\sin C}{c}\)
geerky42
  • geerky42
Familiar with it?
anonymous
  • anonymous
i know that but i don't get how to plug it is plus i tried it again and got Choice B
terenzreignz
  • terenzreignz
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.
geerky42
  • geerky42
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?
geerky42
  • geerky42
The law of tangents is really cumbersome compared to the law of cosines :P
anonymous
  • anonymous
ok so i know b=27.5
geerky42
  • geerky42
Yes.
anonymous
  • anonymous
so figure out that a = 28.5
geerky42
  • geerky42
No, no, you already have the given value of a, so just use law of sines to find the angle.
geerky42
  • geerky42
Now you know a, b, c, and B. Now all you need to do is find A and C.
anonymous
  • anonymous
is the angle 25.5
geerky42
  • geerky42
None, not what I get.
anonymous
  • anonymous
115.5
pooja195
  • pooja195
b^2 = a^2 + c^2 - 2accosB b = 27.5
geerky42
  • geerky42
Wait, you're right, angle C is close to 25.5º. My bad. Now find the other angle.
geerky42
  • geerky42
180º - (A + C) = B
anonymous
  • anonymous
118.5
anonymous
  • anonymous
so i had it right the first time
geerky42
  • geerky42
Yes! Is this clear?
geerky42
  • geerky42
You have to do math, though. You can't just guess. Just saying.

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