anonymous one year ago Which of the following could be the ratio between the lengths of the two legs of a 30-60-90 triangle? http://i1378.photobucket.com/albums/ah115/tonianncampbell9/Problem_zpsjf8fpccc.png

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1. anonymous

I Believe it is C hold on

2. anonymous

Actually I believe it is A can you only have one answer?

3. anonymous

i chose those answers but it was incorrect, thats why i needed help @aric200

4. anonymous

What did you choose?

5. anonymous

i chose a and c

6. anonymous

I said hold On I was checking but I was not sure. I was trying to let you know I'm working on it and to be patient but if you got it wrong it was not because of me

7. anonymous

lol i know i did the problem before hand and i got the same answers you thought of @aric200

8. anonymous

Oh Alright I thought you were blaming it on me.. awkward.

9. anonymous

Maybe it was just A because C is iffy

10. anonymous
11. anonymous

I know A for sure just dont know about any others

12. anonymous

yea that was one of my choices but i've came to the conclusion that it has to be 3 answers there

13. anonymous

@UsukiDoll @Elsa213 @AG23 Can you help me with this question?

14. welshfella

A is definitely one

15. welshfella

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16. phi

you are looking for the ratio "short leg" / "long leg" to be 1/ sqr(3) (the legs are the two sides that are not the hypotenuse) choice A show 1/sqr(3) so that is an answer B simplifies to 1 , which is not the same as 1/sqr(3). ditto E. choice C: $\frac{\sqrt{2} }{\sqrt{3}}=? \frac{1}{\sqrt{3}}$ if you multiply both sides by sqr(3) you get $$\sqrt{2}=? 1$$ no, sqr(2) is bigger than 1 choice D $\frac{1}{\sqrt{2}} =? \frac{1}{\sqrt{3}}$ if you square each side , you get $$\frac{1}{2}=?\frac{1}{3}$$ clearly not true. choice E, =1 , so no choice F: $\frac{ 2 \sqrt{3}}{6} =?\frac{1}{\sqrt{3} }$ simplify 2/6 to 1/3 $\frac{ \sqrt{3}}{3} =?\frac{1}{\sqrt{3} }$ if we square both sides we get $$\frac{3}{9}= ? \frac{1}{3}$$ yes, 3/9 = 1/3. so choice F works.