Question

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

Answer 1

I Believe it is C hold on

Answer 2

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

Answer 3

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

Answer 4

What did you choose?

Answer 5

i chose a and c

Answer 6

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

Answer 7

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

Answer 8

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

Answer 9

Maybe it was just A because C is iffy

Answer 10

http://www.regentsprep.org/regents/math/algtrig/att2/ltri30.htm

Answer 11

I know A for sure just dont know about any others

Answer 12

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

Answer 13

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

Answer 14

A is definitely one

Answer 15

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.