ABC equilateral angle, parallel sides, mental visualization difficult

[sumit saurav]

ABC is an equilateral triangle such that the vertices B and C lie on two parallel lines at a distance 6. if A lies between the parallel lines at a distance 4 from one of them,then the lenght of a side of the equilateral triangle is:
a) 8
b) whole under root 88/3
c)4 under root 7/under root 3
d) none of these
i dont get the meaning that at a distance 6?

 

[sumit saurav]

i dont have a diagram in the question and unable to get a clear mental picture thats the main problem

 

[Quaid]

ABC is an equilateral triangle such that the vertices B and C lie on two parallel lines at a distance 6.

if A lies between the parallel lines at a distance 4 from one of them, then the lenght of a side of the equilateral triangle is:

a) 8

b) whole under root 88/3

c)4 under root 7/under root 3

d) none of these

i dont get the meaning that at a distance 6?

Hello:

I'm thinking that the parallel lines are 6 units apart. I'm not sure how the triangle is rotated between them, but here's one possible diagram.





Also, is "whole under root 88/3" shown like:

\(\displaystyle \sqrt{\dfrac{88}{3}}\) ?


And "4 under root 7/under root 3" is:

\(\displaystyle \dfrac{4\sqrt{7}}{\sqrt{3}}\) ?

 

[sumit saurav]

i find the questions language very tricky and yes about the numbers younatr right i dont have keys for under root

 

[sumit saurav]

also according to your diagram the other side with distance 2 is similar to other one with 4 right angle reason which contradicts the equilateral nature of the main triangle

 

[Quaid]

according to your diagram the other side with distance 2 is similar to other one with 4 right angle reason which contradicts the equilateral nature of the main triangle

My diagram is a guess.

I am not sure how the triangle is oriented between the lines.

I do not know whether side BC is 6 units.

 

[Quaid]

yes about the numbers


younatr right


i dont have keys for under root

We can text the math like this:


\(\displaystyle \sqrt{\dfrac{88}{3}}\) as sqrt(88/3)


\(\displaystyle \dfrac{4\sqrt{7}}{\sqrt{3}}\) as 4 sqrt(7)/sqrt(3)


Cheers :cool:

 

[sumit saurav]

BC cant be 6 if it would have been then lenght of side would be 6 but it isnt