Find the value of each variable. If your answer is not an integer, express it in simplest radical form

- highschoolmom2010

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- highschoolmom2010

@jdoe0001

##### 1 Attachment

- jdoe0001

hehe, same thing
you see the 30, 60 and 90 angles?

- highschoolmom2010

yes

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## More answers

- highschoolmom2010

|dw:1375657637657:dw|

- jdoe0001

so their relationship are |dw:1375657891270:dw|

- highschoolmom2010

that is where i started getting confused....

- jdoe0001

ok, which part throws you off?

- highschoolmom2010

|dw:1375657762568:dw|

- highschoolmom2010

^^that

- jdoe0001

what that means is just that
the longest side is TWICE as much as the smallest side
so "2a" is twice as much as "a"
so if I had a 30-60-90 triangle whose smallest side were say 25
then the longest will be TWICE as much, or 50, thus |dw:1375658213907:dw|

- jdoe0001

if I had a 30-60-90 triangle whose smallest side were say "WHATEVER"
my longest side will be "WHATEVER" x 2

- jdoe0001

still confused?

- highschoolmom2010

not on the 2a part but what about the a sqrt3

- anonymous

you just have to multipy the 20 with the sqrt of 3.

- anonymous

first, you have to divide 40 by 2, in order to find a. cos its 2a/2 > you will now find a. and then there it says "a sqrt of 3", so you just have to multiply a with sqrt of 3.

- anonymous

do u get it? :)

- phi

btw, this video goes over 45-45-90 and 30-60-90 triangles. These videos are helpful

- highschoolmom2010

i have never used any terms relating to trig so no i dont really get it :( @phi what video??

- phi

this one
http://www.khanacademy.org/math/geometry/right_triangles_topic/special_right_triangles/v/intro-to-30-60-90-triangles

- highschoolmom2010

oh ok ill watch it

- anonymous

@highschoolmom2010 got the answer?

- highschoolmom2010

nope not even close

- anonymous

ok...you want to find x and y..right?

- anonymous

You know about trigonometry ratios?

- highschoolmom2010

yea.. i tried to do it and was told it was wrong so i got confused nope
im in geometry

- highschoolmom2010

@phi it kinda helped me figure that sqrt 3 part bu tnot how to do the problem

- anonymous

|dw:1375807850273:dw|

- phi

in that case watch the video where he does examples

- anonymous

or we can go using geometry

- highschoolmom2010

that would help better

- anonymous

ok

- anonymous

this is a 30-60-90 triangle

- anonymous

|dw:1375808252038:dw|

- anonymous

this means BC is AB*root 3

- anonymous

and AC is AB*2

- anonymous

okay?

- highschoolmom2010

ok

- anonymous

so BC=root3 *(x) =y

- anonymous

and AC=x(*2)=40

- highschoolmom2010

can u draw what u are saying im *more visual*

- anonymous

|dw:1375808671220:dw|

- anonymous

from this x=20 and put that x to find y

- highschoolmom2010

|dw:1375808797534:dw|

- anonymous

yes

- highschoolmom2010

like that ????

- anonymous

yes...you got it

- highschoolmom2010

so so what now....

- anonymous

x=20 and y=20 root3

- highschoolmom2010

HOLY COW I DID IT :DDDDD

- anonymous

hmm...Congrats....:D

- highschoolmom2010

TY @Krishnadas & @phi @jdoe0001

- anonymous

you are welcome @highschoolmom2010

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