zhane2015
What is the value of w?
triangle
(1 point)
7
3.5
7square root of three
14
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zhane2015
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|dw:1360703526596:dw|
Zelda
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Take a look here and see if you can figure it out: See attached
Directrix
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30-60-90 theorem in words.
zhane2015
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Thank yoou soo much
zhane2015
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@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
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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
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Do you understand that so far?
Directrix
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We will go step by step so that you understand. That is why I am asking.
zhane2015
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yes
Directrix
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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.
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Directrix
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Does that make sense? If so, we're about to break out the theorem. :)
zhane2015
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Yes so far.
Directrix
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That's good news. So far, so good.
Directrix
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We want the length of w which is the hypotenuse.
But, all we are given is the 60 leg.
zhane2015
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Yes
Directrix
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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
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Theorem Time;
The 60-leg is sqrt(3) times the 30-leg.
Agree?
zhane2015
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Whoa, can you draw that??
Directrix
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|dw:1360706227544:dw|
Directrix
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|dw:1360706398553:dw|
Directrix
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Questions? (We have one more step. We are not yet finished.)
zhane2015
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I understand
Directrix
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Note that in the latest posted picture, the 60 leg shows up as sqrt(3) times the 30-leg.
zhane2015
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Yes, I am aware of that.
Directrix
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The second part of the 30-60-90 theorem states that the hypotenuse is two times the 30-leg.
Directrix
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|dw:1360706596069:dw|
zhane2015
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Ok...
Directrix
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So, w = 14. I can write it out.
|dw:1360706716509:dw|
Directrix
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|dw:1360706845397:dw|
Directrix
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You can see the pattern in the diagram. That was what Zelda was talking about.
Directrix
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Question?
zhane2015
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No, and Thank You very much.