Since this is a 30-60-90 triangle, the sides are in this proportion-
Shortest side (opposite of 30 degree angle)-x (v)
Longest side (opposite of 90 degree angle)-2x
Medium Side (opposite of 60 degree angle)- x(square root of 3)
So 23 is in the 2x proportion. x is v so solve for v like this-
23=2v
Divide 2.
v=11.5
Since v is x and x(square root of 3) is u, solve-
11.5*square root of 3
So-
v=11.5
u=11.5(square root of 3)
Yes, you are correct. I just put it in decimal form. :)