An equilateral triangle is inscreibed in the parabola y^2= 4ax whose one vertex is at the vertex of the parabola. find the length of the side of the triangle
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Consider the attached diagram,
if A =(0,0)
let s be the length of the side of a triangle ABC
then A = (s√3/2,s/2) and B = (s√3/2,-s/2)
as A, B likes on the parabola
(s/2)² = 4a (s√3/2)
as s = 4a(2√3/) = 8a√3
if A =(0,0)
let s be the length of the side of a triangle ABC
then A = (s√3/2,s/2) and B = (s√3/2,-s/2)
as A, B likes on the parabola
(s/2)² = 4a (s√3/2)
as s = 4a(2√3/) = 8a√3
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