anonymous
  • anonymous
What is the value of w? triangle (1 point) 7 3.5 7square root of three 14
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
|dw:1360703526596:dw|
anonymous
  • anonymous
Take a look here and see if you can figure it out: See attached
Directrix
  • Directrix
30-60-90 theorem in words.
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anonymous
  • anonymous
Thank yoou soo much
anonymous
  • anonymous
@Directrix I'm sorry I thought I understood what I was doing but if you could just explain how to solve for w please, and @Zelda if you can help i would appreciate it
Directrix
  • Directrix
First, you have to know what the 30-60-90 theorem says. It is written above in both symbols and words. Next, you have to know the names of the parts of the 30-60-90 triangle. I am marking them on a drawing. |dw:1360705600824:dw|
Directrix
  • Directrix
Do you understand that so far?
Directrix
  • Directrix
We will go step by step so that you understand. That is why I am asking.
anonymous
  • anonymous
yes
Directrix
  • Directrix
If one angle of a right triangle is 30, then the other acute angle is 60. So, we have a 60 leg. Then, there is the hypotenuse. |dw:1360705782032:dw|
Directrix
  • Directrix
Does that make sense? If so, we're about to break out the theorem. :)
anonymous
  • anonymous
Yes so far.
Directrix
  • Directrix
That's good news. So far, so good.
Directrix
  • Directrix
We want the length of w which is the hypotenuse. But, all we are given is the 60 leg.
anonymous
  • anonymous
Yes
Directrix
  • Directrix
When fooling with the 30-60-90 theorem, get the 30-leg first. I know we are not asked for the 30-leg but the 30-leg is the key to finding w, the hypotenuse.
Directrix
  • Directrix
Theorem Time; The 60-leg is sqrt(3) times the 30-leg. Agree?
anonymous
  • anonymous
Whoa, can you draw that??
Directrix
  • Directrix
|dw:1360706227544:dw|
Directrix
  • Directrix
|dw:1360706398553:dw|
Directrix
  • Directrix
Questions? (We have one more step. We are not yet finished.)
anonymous
  • anonymous
I understand
Directrix
  • Directrix
Note that in the latest posted picture, the 60 leg shows up as sqrt(3) times the 30-leg.
anonymous
  • anonymous
Yes, I am aware of that.
Directrix
  • Directrix
The second part of the 30-60-90 theorem states that the hypotenuse is two times the 30-leg.
Directrix
  • Directrix
|dw:1360706596069:dw|
anonymous
  • anonymous
Ok...
Directrix
  • Directrix
So, w = 14. I can write it out. |dw:1360706716509:dw|
Directrix
  • Directrix
|dw:1360706845397:dw|
Directrix
  • Directrix
You can see the pattern in the diagram. That was what Zelda was talking about.
Directrix
  • Directrix
Question?
anonymous
  • anonymous
No, and Thank You very much.

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