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Think of an equilateral triangle in which the length of a side is s, the perimeter (distance around the triangle) is p, and the area is A. Find the missing parts. s=? p=? area= 9 sqaureroot of 3
 one year ago
 one year ago
Think of an equilateral triangle in which the length of a side is s, the perimeter (distance around the triangle) is p, and the area is A. Find the missing parts. s=? p=? area= 9 sqaureroot of 3
 one year ago
 one year ago

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nomnom147Best ResponseYou've already chosen the best response.0
thank you soo much!! i really need someones help! :)
 one year ago

seashellBest ResponseYou've already chosen the best response.0
ok so.. the formula of the area of an equilateral area is
 one year ago

seashellBest ResponseYou've already chosen the best response.0
http://www.mathwords.com/a/a_assets/area%20equilateral%20triangle%20formula.gif
 one year ago

nomnom147Best ResponseYou've already chosen the best response.0
but how do i get s? if i have to divide it? Im so confused.
 one year ago

seashellBest ResponseYou've already chosen the best response.0
:/ tryna help but i really dont know:/ im soo sorry
 one year ago

myininayaBest ResponseYou've already chosen the best response.1
\[A=9 \sqrt{3}=\frac{1}{2} b h\] So we have that the base, b, of the triangle is s b=s So we have \[9 \sqrt{3}=\frac{1}{2}s h\] So this means we have \[(2) 9 \sqrt{3} =\frac{1}{2}sh (2)\] \[18 \sqrt{3} =sh\] So is there a way to write h in terms of s Well remember we have an equilateral triangle with each side s and h, the height of the equilateral can be found in terms of s by using the Pythagorean Theorem dw:1337557593984:dw
 one year ago

myininayaBest ResponseYou've already chosen the best response.1
no look at one of those triangles inside the equilateral dw:1337557653191:dw
 one year ago

myininayaBest ResponseYou've already chosen the best response.1
Write h in terms of s
 one year ago

myininayaBest ResponseYou've already chosen the best response.1
Use the Pythagorean thm to do so
 one year ago

nomnom147Best ResponseYou've already chosen the best response.0
so 18 square root of 3 using pythagorean thm we get the S?
 one year ago

nomnom147Best ResponseYou've already chosen the best response.0
@seashell thank you anyways! :) <3
 one year ago

myininayaBest ResponseYou've already chosen the best response.1
I want you to write h in terms of s Use the Pythagorean thm
 one year ago

myininayaBest ResponseYou've already chosen the best response.1
Look at the triangle I drew
 one year ago

myininayaBest ResponseYou've already chosen the best response.1
And use the Pythagorean thm to write h in terms of s
 one year ago

nomnom147Best ResponseYou've already chosen the best response.0
a^2 + b^2 = C^2 so H will eaqul 54?
 one year ago

myininayaBest ResponseYou've already chosen the best response.1
dw:1337558023888:dw \[(h)^2+(\frac{s}{2})^2=s^2\]
 one year ago

myininayaBest ResponseYou've already chosen the best response.1
Solve what I have up there for h please \[h^2+\frac{s^2}{4}=s^2\] this right here can you do that?
 one year ago

nomnom147Best ResponseYou've already chosen the best response.0
im really sorry Im trying to understand it, but i get confused. Im trying my best. Sorry :/
 one year ago

nomnom147Best ResponseYou've already chosen the best response.0
@myininaya will H equal 4?
 one year ago

myininayaBest ResponseYou've already chosen the best response.1
\[\text{ subtract } \frac{s^2}{4} \text{ on both sides of } h^2+\frac{s^2}{4}=s^2\]
 one year ago

myininayaBest ResponseYou've already chosen the best response.1
\[h^2=s^2\frac{s^2}{4}\] Combine the fractions on the right hand side of the equation \[h^2=\frac{4s^2}{4}\frac{s^2}{4} \] \[h^2=\frac{3s^2}{4}\] Take square root of both sides So we have \[h=\sqrt{\frac{3s^2}4}\] \[h=\frac{\sqrt{3s^2}}{\sqrt{4}}\] \[h=\frac{\sqrt{3} \sqrt{s^2}}{2}\] \[h=\frac{\sqrt{3}s}{2}\]
 one year ago

myininayaBest ResponseYou've already chosen the best response.1
I wrote h in terms of s
 one year ago

myininayaBest ResponseYou've already chosen the best response.1
Now we can go back to solving for s Recall we had the equation \[18 \sqrt{3}=sh\] Now we just wrote h in terms of s So we have \[18 \sqrt{3}=s \frac{\sqrt{3} s}{2}\] Can you solve this for s ?
 one year ago

myininayaBest ResponseYou've already chosen the best response.1
\[18 \sqrt{3} = s s \frac{\sqrt{3}}{2}\] \[18 \sqrt{3} = \frac{\sqrt{3}}{2} s^2\] There that might look a bit better to you Try solving this for s
 one year ago
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