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zhane2015
 2 years ago
What is the value of w?
triangle
(1 point)
7
3.5
7square root of three
14
zhane2015
 2 years ago
What is the value of w? triangle (1 point) 7 3.5 7square root of three 14

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zhane2015
 2 years ago
Best ResponseYou've already chosen the best response.0dw:1360703526596:dw

Zelda
 2 years ago
Best ResponseYou've already chosen the best response.1Take a look here and see if you can figure it out: See attached

Directrix
 2 years ago
Best ResponseYou've already chosen the best response.3306090 theorem in words.

zhane2015
 2 years ago
Best 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

Directrix
 2 years ago
Best ResponseYou've already chosen the best response.3First, 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

Directrix
 2 years ago
Best ResponseYou've already chosen the best response.3Do you understand that so far?

Directrix
 2 years ago
Best ResponseYou've already chosen the best response.3We will go step by step so that you understand. That is why I am asking.

Directrix
 2 years ago
Best ResponseYou've already chosen the best response.3If 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
 2 years ago
Best ResponseYou've already chosen the best response.3Does that make sense? If so, we're about to break out the theorem. :)

Directrix
 2 years ago
Best ResponseYou've already chosen the best response.3That's good news. So far, so good.

Directrix
 2 years ago
Best ResponseYou've already chosen the best response.3We want the length of w which is the hypotenuse. But, all we are given is the 60 leg.

Directrix
 2 years ago
Best ResponseYou've already chosen the best response.3When 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.

Directrix
 2 years ago
Best ResponseYou've already chosen the best response.3Theorem Time; The 60leg is sqrt(3) times the 30leg. Agree?

zhane2015
 2 years ago
Best ResponseYou've already chosen the best response.0Whoa, can you draw that??

Directrix
 2 years ago
Best ResponseYou've already chosen the best response.3dw:1360706227544:dw

Directrix
 2 years ago
Best ResponseYou've already chosen the best response.3dw:1360706398553:dw

Directrix
 2 years ago
Best ResponseYou've already chosen the best response.3Questions? (We have one more step. We are not yet finished.)

Directrix
 2 years ago
Best ResponseYou've already chosen the best response.3Note that in the latest posted picture, the 60 leg shows up as sqrt(3) times the 30leg.

zhane2015
 2 years ago
Best ResponseYou've already chosen the best response.0Yes, I am aware of that.

Directrix
 2 years ago
Best ResponseYou've already chosen the best response.3The second part of the 306090 theorem states that the hypotenuse is two times the 30leg.

Directrix
 2 years ago
Best ResponseYou've already chosen the best response.3dw:1360706596069:dw

Directrix
 2 years ago
Best ResponseYou've already chosen the best response.3So, w = 14. I can write it out. dw:1360706716509:dw

Directrix
 2 years ago
Best ResponseYou've already chosen the best response.3dw:1360706845397:dw

Directrix
 2 years ago
Best ResponseYou've already chosen the best response.3You can see the pattern in the diagram. That was what Zelda was talking about.

zhane2015
 2 years ago
Best ResponseYou've already chosen the best response.0No, and Thank You very much.
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