I tried it over and over, and again and again I got the answer for number 10 on the Episode Quiz to be "A", although the site says the correct answer is "C".  Could somebody please explain?

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This is a tough one!Try following these steps:1. Make a perpendicular from the top two points of the trapezoid down to the bottom base. You'll then have 2 triangles and a rectangle.2. You have a 45-45-90 triangle on the right. The hypotenuse is 6 * sqrt 2. This means that the two sides are a length of 6 given the 45-45-90 ratio. The side that you drew from the top point is therefore 6.3. You know that the sides that you drew are the same length given the properties of a trapezoid (top and base are parallel). 4. In the 30-60-90 triangle on the left, you now know the side you drew has a length of 6. 5. Use the 30-60-90 ratio of a-2a-a*sq root 3, you find that a=2sqrt3. Since you're looking for the side that is 2a, you get 4sqrt3, which is answer "C"Make sense?