Anybody plz answer

The distance between 2 parallel lines is one unit.A point 'A' is chosen to lie between the lines at a distance d from one of them.Triangle ABC is equilateral with B on one line and C on the other parallel line.The length of the side of the equilateral is?

3 Answers

2305
Shaswata Roy ·

The diagram will be somewhat like this :

<BAC= <ACB=<CBA=60°

cosθ = da and sinθ = √(a2-d2)d
cos(120°-θ) = 1-da = 1a - cosθ
Expanding cos(120°-θ) we get,

cosθ2 + √3 sinθ2 = 1a
Substituting the values of cosθ and sinθ we get ,
√(3a2-d2) = 2-d

or a = 2√(d2-d+13)
Which is the required answer.

333
Hardik Sheth ·

is it 1/√2??

591
Akshay Ginodia ·

answer is 2√(d2-d+1)/3

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