anonymous
  • anonymous
How do I express the area of an equilateral triangle as a function of the length of a side?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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jdoe0001
  • jdoe0001
do you know the 30-60-90 rule?
anonymous
  • anonymous
yes
anonymous
  • anonymous
I have trouble with functions and I'm exactly sure how to do this one.

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jdoe0001
  • jdoe0001
|dw:1377993111617:dw| notice that all sides are equal, so all the internal angles are equal sum of internal angles is 180, so 180 divided equally by 3 => 180/3 = 60 so each internal angle is 60 degrees so what's the HEIGHT?
anonymous
  • anonymous
I'm not sure
jdoe0001
  • jdoe0001
|dw:1377993282498:dw|
anonymous
  • anonymous
but where does the square root of 3 come from?
jdoe0001
  • jdoe0001
well, I assumed you know the 30-60-90 rule, well, that's where from
jdoe0001
  • jdoe0001
http://upload.wikimedia.org/wikipedia/commons/4/45/30-60-90_triangle.jpg
anonymous
  • anonymous
so A= 1/2 S x square root 3?
jdoe0001
  • jdoe0001
the "altitude", yes the height of it is \(\bf \cfrac{1}{2}s\times \sqrt{3} \implies \cfrac{s\sqrt{3}}{2}\)
jdoe0001
  • jdoe0001
and as you know, your BASE is "s" and you can get the Area from that
anonymous
  • anonymous
oh ok |dw:1377993610105:dw|
jdoe0001
  • jdoe0001
yeap
anonymous
  • anonymous
ok, so in my book they changed the s to x additionally they wrote that x>0. What does the x>0 mean?

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