anonymous
  • anonymous
Two triangles can be formed with the given information. Use the Law of Sines to solve the triangles. B = 46°, a = 12, b = 11 A = 38.3°, C = 95.7°, c = 8; A = 141.7°, C = 84.3°, c = 8 A = 51.7°, C = 82.3°, c = 8; A = 128.3°, C = 5.7°, c = 8 A = 38.3°, C = 95.7°, c = 15.2; A = 141.7°, C = 84.3°, c = 15.2 A = 51.7°, C = 82.3°, c = 15.2; A = 128.3°, C = 5.7°, c = 1.5 @ganeshie8 @dan815 @pooja195 @nincompoop @hero @wio @luigi0210 @.sam. @usukidoll
Mathematics
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SOLVED
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chestercat
  • chestercat
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butterflydreamer
  • butterflydreamer
do you know your sine rule? :)
anonymous
  • anonymous
no i dont know anything
anonymous
  • anonymous
do u know the answer? @butterflydreamer

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butterflydreamer
  • butterflydreamer
|dw:1436242601937:dw|
butterflydreamer
  • butterflydreamer
lmaooo i'm not here to give you a direct answer. It's against CoC... :)
anonymous
  • anonymous
well i dont want the answer but i want the step by step
anonymous
  • anonymous
cuz i have no clue how to do this
butterflydreamer
  • butterflydreamer
that's fine :) Anyway, so the sine rule basically is this: \[\frac{ a }{ sinA } = \frac{ b }{ sinB} = \frac{ c }{ sinC} \] and you can even flip it around: \[\frac{ sinA }{ a } = \frac{ sinB }{ b}= \frac{ sinC }{ c }\] Now you want to draw up a triangle and label the information give to you which is: B = 46 , a = 12, b = 11 so, |dw:1436242931550:dw| Firstly, we want to find angle A
anonymous
  • anonymous
okay so what do we do next?
butterflydreamer
  • butterflydreamer
Using the sine rule we can find angle A like this : \[\frac{ sinA }{ a } = \frac{ sinB }{ b } \rightarrow \frac{ sinA }{ 12 } = \frac{ \sin46 }{ 11 }\]
butterflydreamer
  • butterflydreamer
|dw:1436243178342:dw|
butterflydreamer
  • butterflydreamer
now to find A we go: |dw:1436243370517:dw|
anonymous
  • anonymous
i got an error sign @butterflydreamer
butterflydreamer
  • butterflydreamer
did you plug it into the calculator correctly? Try again Lol. I plugged it into my calculator and got a number so you should get one too :)
anonymous
  • anonymous
i got none of my option? can u tell me what it is @butterflydreamer
anonymous
  • anonymous
please help @butterflydreamer
anonymous
  • anonymous
i give up @butterflydreamer can u please just tell me :)
anonymous
  • anonymous
please @butterflydreamer
butterflydreamer
  • butterflydreamer
http://prntscr.com/7pq08q round that number to 1 decimal place
anonymous
  • anonymous
okay thats 5.7 but that only A it only narrows our options to two
anonymous
  • anonymous
51.7
anonymous
  • anonymous
A = 51.7°, C = 82.3°, c = 8; A = 128.3°, C = 5.7°, c = 8 A = 51.7°, C = 82.3°, c = 15.2; A = 128.3°, C = 5.7°, c = 1.5 so which one of these are the answers? @butterflydreamer
butterflydreamer
  • butterflydreamer
yeeep so A = 51.7 Now use the sine rule and follow a similar method to solve for c and C
anonymous
  • anonymous
so can u help me solve them please :)
butterflydreamer
  • butterflydreamer
|dw:1436244696917:dw| Find angle C by using the fact that the angle sum (all 3 angles in a triangle) = 180. So we have two angles right? A = 51.7 , B = 46. Therefore C = 180 - 51.7 - 46 = ?
anonymous
  • anonymous
82.3
anonymous
  • anonymous
i need help finding little c
butterflydreamer
  • butterflydreamer
yeep C = 82.3 Now to find the length of c, we need to use the sine rule again: |dw:1436244903292:dw| |dw:1436244943797:dw|