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Thank yoou soo much
@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
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|
Do you understand that so far?
We will go step by step so that you understand. That is why I am asking.
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|
Does that make sense? If so, we're about to break out the theorem. :)
Yes so far.
That's good news. So far, so good.
We want the length of w which is the hypotenuse. But, all we are given is the 60 leg.
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.
Theorem Time; The 60-leg is sqrt(3) times the 30-leg. Agree?
Whoa, can you draw that??
Questions? (We have one more step. We are not yet finished.)
Note that in the latest posted picture, the 60 leg shows up as sqrt(3) times the 30-leg.
Yes, I am aware of that.
The second part of the 30-60-90 theorem states that the hypotenuse is two times the 30-leg.
So, w = 14. I can write it out. |dw:1360706716509:dw|
You can see the pattern in the diagram. That was what Zelda was talking about.
No, and Thank You very much.