In trapezoidal ABCD, ad ‖ BC, ab = DC, AC, BD intersect with point O, and ∠ BOC = 60 ° Find the length of EF If e and F are the midpoint of OC and ab respectively, ad = 1 and BC = 2,

In trapezoidal ABCD, ad ‖ BC, ab = DC, AC, BD intersect with point O, and ∠ BOC = 60 ° Find the length of EF If e and F are the midpoint of OC and ab respectively, ad = 1 and BC = 2,

So the triangle AOD and BOC are regular triangles, 0C = 2, so OC = 1
So the angle BOE = 90 degrees, so Abe is a right triangle, EF is the center line of its hypotenuse, EF = 0.5ab
Now find AB, do Ag perpendicular to g, so the triangle ABG is a right triangle
………… So BG = 05, so AG = 1.5 times root 3
So AB = root 7, so EF = 1 / 2 (root 7)