Find the values of x and y. Write your answer in simplest form.

Answer:y = 6√3 and x = 6Step-by-step explanation:this is a 30-60-90 triangle.  The side opposite the 30° angle corresponds to the side of length 1  in the most basic 30-60-90 triangle; the side opp. 60° to the side of length √3; and the hyp. to the side of length 2.To find y, write and solve an equation of ratios, as follows:adj side           adj side      (adjacent to the 30° angle)     y                       √3  hypo               hypo    then (cross multiplying):  2y = 12√3, and     12                     2       y = 6√3If the hypo here is 12 and the adj side (y) is 6√3, then we can use the Pyth. Theorem to find the third side (x):[12]² = [6√3]² - x²  ↔ 144 = 36(3) - x²   ↔  36 = x².  So x = 6 here.