anonymous
  • anonymous
What is the area of the equilateral triangle? Round to the nearest square centimeter. cm2 http://static.k12.com/calms_media/media/1579000_1579500/1579374/1/2d11bb360066673f6944e7b48c887fd772b22a4f/MS_IMC-150126-130913.jpg
Mathematics
jamiebookeater
  • jamiebookeater
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welshfella
  • welshfella
there's various ways to find this area you could use A = 0.5*ab*sin C
welshfella
  • welshfella
|dw:1432752636786:dw|

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welshfella
  • welshfella
here a = b = 8 and C = 60 degrees
anonymous
  • anonymous
ok lets do that
anonymous
  • anonymous
8^2 and 60^ 2 right?
welshfella
  • welshfella
0.5 * 8^2 * sin 60
anonymous
  • anonymous
0.5x64=60
welshfella
  • welshfella
??
welshfella
  • welshfella
0.5 * 64 = half of 64 = ?
welshfella
  • welshfella
do you know what sin 60 degrees is - Have you done any trigonometry?
anonymous
  • anonymous
nope
welshfella
  • welshfella
oh OK Then we need another method
welshfella
  • welshfella
|dw:1432753016497:dw|
welshfella
  • welshfella
x is the height of the triangle the area = 1/2 * base * height = 4 * height Now we need to find the value of x Have you come across the Pythagoras Theorem?
anonymous
  • anonymous
yes
welshfella
  • welshfella
so we can find x by using that theorem:- 8^2 = 4^2 + x^2 x^2 = 8^2 - 4^2 can you continue to find x?
anonymous
  • anonymous
16x64=x^
welshfella
  • welshfella
now its 64 - 16 = x^2
anonymous
  • anonymous
ohhh ok
welshfella
  • welshfella
x^2 = 48 x = sqrt 48
anonymous
  • anonymous
i got 48
anonymous
  • anonymous
oh nvm
welshfella
  • welshfella
x^2 = 48 but to find x you need to find the square root of 48 ur calculator will give you that
anonymous
  • anonymous
6.9
welshfella
  • welshfella
yes so area = 4 * 6.9
welshfella
  • welshfella
more accurately its 6.93 so area = 4 * 6.93
anonymous
  • anonymous
27.6
welshfella
  • welshfella
27.7 is more accurate
anonymous
  • anonymous
it wont let me put in a decimal
anonymous
  • anonymous
so 28?
welshfella
  • welshfella
yes
anonymous
  • anonymous
ok thanks
welshfella
  • welshfella
yw

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