Question

In triangle ABC right angled at C, angle A =pi/6 and AC = rt3, three points D, E, F are taken on sides AB,BC,CA respectively, such that triangle DEF is equilateral. If BE= 1/2, then the square of length of side of triangle DEF is equal to

Answer 1

\(AC = rt3\) ?

Answer 2

(3)^1/2

Answer 3

@rational ?

Answer 4

Is the biggest equilateral triangle that can be inscribed in a triangle the biggest equilateral triangle that can be inscribed in the incircle of that triangle?

Answer 5

may be

Answer 6

is the answer 7/16 ?

Answer 7

yeah

Answer 8

how?? :O

Answer 9

\(AC=\sqrt{3} \implies BC=1,~AB=2\) :