draw the figure first (label everything you know). 
add two altitudes, from the endpoints of the top base 
you know that the bottom base is now divided 5-6-5 
using that and the diagonal, pythagorean theorm can be used to find the altitude: 
(c^2)-(a^2)=(b^2) 
(12^2)-(11^2)=b^2 
b^2=23 
altitude is about 4.8