Question 750027
"distance between foci 4/3squareroot of 33"----
That means the foci are (-(2/3)sqrt(33),0) and ((2/3)sqrt(33),0).  Use the distance formula to make the expression for the sum of the distances (-(2/3)sqrt(33),0) to (2,1) and ((2/3)sqrt(33),0) to (2,1).  That sum will be equal to 2*a, so you will be able to get a value for a.  


{{{2a=sqrt((-(2/3)sqrt(33)-2)^2+(0-1)^2)+sqrt(((2/3)sqrt(33)-2)^2+(0-1)^2 )}}}


Next, you find b.
Use the triangle relationship, {{{a^2=b^2+c^2}}}.  You already know the value for c,
{{{c=(2/3)sqrt(33)}}}, and you already just found a.