• DLS

An interesting question! :D ABC is an equilateral triangle such that the vertices B and C lie on two parallel line at a distance of 6.If A lies between the parallel lines at a distance 4 from one of them then the length of a side of the equilateral triangle is=?

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  • DLS

An interesting question! :D ABC is an equilateral triangle such that the vertices B and C lie on two parallel line at a distance of 6.If A lies between the parallel lines at a distance 4 from one of them then the length of a side of the equilateral triangle is=?

Mathematics
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if B and C lie on parallel lines, then BC = side = 6 ...?
  • DLS
units
  • DLS
no unit mentioned if u are asking for one

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Other answers:

i was not asking, i was telling side =6
  • DLS
oh :P
  • DLS
|dw:1356782149154:dw| my diagram
if ABC is equilateral AB=BC=AC=6
  • DLS
|dw:1356782275365:dw| so cant we do like this.. sin60=h/4
u wanted to know length of side ... = BC = 6 thats it.
  • DLS
O_o answer isnt this!!
  • DLS
we have to find length
of ?
  • DLS
side of the eq triangle :/
maybe the side BC is tilted , then
  • DLS
yes..thats what im saying
so, your figure is incorrect.
  • DLS
:/
where u have shown BC =6
|dw:1356782465079:dw|
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why wont that be 60 :o
|dw:1356782731705:dw|
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thats nt touching?
ofcourse, it is...
  • DLS
then w|dw:1356783287510:dw|
i have a long way.
|dw:1356783439425:dw|
\(a=\sqrt{x^2-4^2} \\ b=\sqrt{x^2-6^2} \\ a+b=\sqrt{x^2-2^2}\) you can find 'x' from here.
i hope ther's a shorter way...
  • DLS
x=root 52 or smt?
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solution and answer given in my book is DANGEROUS :/
http://www.wolframalpha.com/input/?i=sqrt%28x%5E2-16%29%2Bsqrt%28x%5E2-36%29%3Dsqrt%28x%5E2-4%29 what answer u have ?
  • DLS
I have.. \[\LARGE 2 \frac{\sqrt{28}}{\sqrt{3}}\]
which is exactly what i got.
\(\LARGE 2 \frac{\sqrt{28}}{\sqrt{3}}=\LARGE 4\frac{\sqrt{7}}{\sqrt{3}}\)
  • DLS
okay yes
using \(a=\sqrt{x^2-4^2} \\ b=\sqrt{x^2-6^2} \\ a+b=\sqrt{x^2-2^2}\)
  • DLS
hold on one sec..let me go through it once again
  • DLS
lol that was a nice method :|
just pythagoras, thrice...
  • DLS
yeah..!

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