1. The diagonals of a trapezoid are perpendicular and have lengths 3 and 4. Find the length of the median of the trapezoid.
2. ABCD is a trapezoid with bases AB and DC. We know that
3. The ratio of the four sides of a trapezoid is 2:1:1:1. The area of the trapezoid is 27sqrt 3. Find the length of the median of the trapezoid.
