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

Question

highschoolmom2010 · Answer

attachment

highschoolmom2010 · Answer

$$h=\sqrt{2}*leg$$
$$h=\sqrt{2}*\sqrt[2]{3}$$

highschoolmom2010 · Answer

this is where im confused

mathstudent55 · Answer

Again, a 30-60-90 triangle, so we have a
$1 : \sqrt{3} : 2 $
ratio of sides.

highschoolmom2010 · Answer

so i have 2sqrt 3 for the side 1

mathstudent55 · Answer

No. Be careful.
The long leg is 2sqrt(3).
In the ratio, the long leg is sqrt(3)

mathstudent55 · Answer

Ratio:                          1     :        sqrt(3)      :       2
Your triangle:              y     :        2sqrt(3)     :      x

mathstudent55 · Answer

Since the long leg is sqrt(3) times longer than the short leg, the short leg is sqrt(3) times shorter than the long leg.

Divide the long leg by sqrt(3) to get the short leg, x.
Then multiply the short leg by 2 to get the hypotenuse, y.

zale101 · Answer

longer leg=√3*shorter leg

2√3=y√3

zale101 · Answer

$$\frac{ 2√3}{ √3 }*\frac{ √3}{ √3 } simplify $$

anonymous · Answer

$$x\text{=}2 \sqrt{3}\text{Sec}[30{}^{\circ}]\text{=}4$$$$y=2 \sqrt{3}\text{Tan}[30{}^{\circ}]=2 $$

highschoolmom2010 · Answer

$$\frac{ 2\sqrt{3} }{ 2 }=\sqrt{3}$$

highschoolmom2010 · Answer

@robtobey what is that

highschoolmom2010 · Answer

@radar  @hobbs978  @jdoe0001  @nincompoop @Psymon  @thomaster  @timo86m  

please can someone help me here

anonymous · Answer

i dont think she know trig :)

anonymous · Answer

its a 30 60 90 like  math student said so solve the ratio :D

highschoolmom2010 · Answer

but i get to |dw:1375832123497:dw|
and no one wants to say if i am going right or not 
and what to do next