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What is the value of w?
triangle
(1 point)
7
3.5
7square root of three
14
 one year ago
 one year ago
What is the value of w? triangle (1 point) 7 3.5 7square root of three 14
 one year ago
 one year ago

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zhane2015Best ResponseYou've already chosen the best response.0
dw:1360703526596:dw
 one year ago

ZeldaBest ResponseYou've already chosen the best response.1
Take a look here and see if you can figure it out: See attached
 one year ago

DirectrixBest ResponseYou've already chosen the best response.1
306090 theorem in words.
 one year ago

zhane2015Best ResponseYou've already chosen the best response.0
@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
 one year ago

DirectrixBest ResponseYou've already chosen the best response.1
First, you have to know what the 306090 theorem says. It is written above in both symbols and words. Next, you have to know the names of the parts of the 306090 triangle. I am marking them on a drawing. dw:1360705600824:dw
 one year ago

DirectrixBest ResponseYou've already chosen the best response.1
Do you understand that so far?
 one year ago

DirectrixBest ResponseYou've already chosen the best response.1
We will go step by step so that you understand. That is why I am asking.
 one year ago

DirectrixBest ResponseYou've already chosen the best response.1
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
 one year ago

DirectrixBest ResponseYou've already chosen the best response.1
Does that make sense? If so, we're about to break out the theorem. :)
 one year ago

DirectrixBest ResponseYou've already chosen the best response.1
That's good news. So far, so good.
 one year ago

DirectrixBest ResponseYou've already chosen the best response.1
We want the length of w which is the hypotenuse. But, all we are given is the 60 leg.
 one year ago

DirectrixBest ResponseYou've already chosen the best response.1
When fooling with the 306090 theorem, get the 30leg first. I know we are not asked for the 30leg but the 30leg is the key to finding w, the hypotenuse.
 one year ago

DirectrixBest ResponseYou've already chosen the best response.1
Theorem Time; The 60leg is sqrt(3) times the 30leg. Agree?
 one year ago

zhane2015Best ResponseYou've already chosen the best response.0
Whoa, can you draw that??
 one year ago

DirectrixBest ResponseYou've already chosen the best response.1
dw:1360706227544:dw
 one year ago

DirectrixBest ResponseYou've already chosen the best response.1
dw:1360706398553:dw
 one year ago

DirectrixBest ResponseYou've already chosen the best response.1
Questions? (We have one more step. We are not yet finished.)
 one year ago

DirectrixBest ResponseYou've already chosen the best response.1
Note that in the latest posted picture, the 60 leg shows up as sqrt(3) times the 30leg.
 one year ago

zhane2015Best ResponseYou've already chosen the best response.0
Yes, I am aware of that.
 one year ago

DirectrixBest ResponseYou've already chosen the best response.1
The second part of the 306090 theorem states that the hypotenuse is two times the 30leg.
 one year ago

DirectrixBest ResponseYou've already chosen the best response.1
dw:1360706596069:dw
 one year ago

DirectrixBest ResponseYou've already chosen the best response.1
So, w = 14. I can write it out. dw:1360706716509:dw
 one year ago

DirectrixBest ResponseYou've already chosen the best response.1
dw:1360706845397:dw
 one year ago

DirectrixBest ResponseYou've already chosen the best response.1
You can see the pattern in the diagram. That was what Zelda was talking about.
 one year ago

zhane2015Best ResponseYou've already chosen the best response.0
No, and Thank You very much.
 one year ago
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