Answer:
x = 8 , y = √12.
Step-by-step explanation:
Consider the large triangle
By Pythagoras
x^2 = 4^2 + + (4√3)^2 =
= 16 + 48
= 64
So x = 8.
Also for the small right triangle
4^2 = y^2 + (x - 6)^2
y^2 = 4^2 - (x - 6)^2
= 16 - (8-6)^2
= 12
y = √12.