1955 AMC 12 Question 31 - thichhoctoan.com

Question 31

An equilateral triangle whose side is $2$ is divided into a triangle and a trapezoid by a line drawn parallel to one of its sides. If the area of the trapezoid equals one-half of the area of the original triangle, the length of the median of the trapezoid is:

$\dfrac{\sqrt6}{2}$
$\sqrt2$
$2+\sqrt2$
$\dfrac{2+\sqrt2}{2}$
$\dfrac{2\sqrt3-\sqrt6}{2}$