anonymous
  • anonymous
if an equillateral triangke has the perimeter of 66, what is the altitude? i just wanna know how to solve it, like the formula.
Mathematics
chestercat
  • chestercat
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Hero
  • Hero
Well, if given the perimeter of an equilateral triangle, you can find the lengths of the sides by using the formula \[S_{\text{Triangle}} = \frac{P}{3}\] |dw:1357829776184:dw| Afterwards, you'll have to draw the altitude which divides the base of the triangle in half. |dw:1357829954412:dw| Furthermore, you'd have to use Pythagorean Theorem to find the the length of the altitude
anonymous
  • anonymous
|dw:1357830348662:dw| so, how would i make this into a pythagoream theorom?
Hero
  • Hero
Split the bigger triangle into two smaller ones. Then just solve for one of the missing sides. The missing side is the altitude of course.

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Hero
  • Hero
|dw:1357830687072:dw| a^2 + b^2 = c^2 a^2 + 11^2 = 22^2
anonymous
  • anonymous
i got a=24.6 .. is that right?
Hero
  • Hero
c = 22 is the hypotenuse, right? So either leg has to be less than that. In other words a < c
Hero
  • Hero
So there's no way that a = 24. 6
anonymous
  • anonymous
11x11=121 and 22x22=484, then i added them together and 605 and the squareroot of 605 was 24.6 :c
Hero
  • Hero
a^2 + 11^2 = 22^2 a^2 = 22^2 - 11^2 a^2 = 484 - 121
anonymous
  • anonymous
i got 11\[\sqrt{3}\]
anonymous
  • anonymous
with the 11 infront
anonymous
  • anonymous
thank you Hero (:
Hero
  • Hero
a^2 + 11^2 = 22^2 a^2 = 22^2 - 11^2 a^2 = 484 - 121 a^2 =121(4 - 1) a^2 = 121(3) a = sqrt(121*3) a = sqrt(11^2)sqrt(3) a = 11sqrt(3)

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