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?
2305The 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.
333is it 1/√2??
Hardik Sheth i mistook this question as a similar question done before where ans was independent of d...dint read the ques properly..