The area of a trapezoid can be found with the formula [tex]A=\frac{b_1+b_2}2h[/tex] where b1 and b2 are the bases and h is the height. Let's plug in the values that we know and solve for h.
[tex]3.9=\frac{4+2.5}2h[/tex]
[tex]3.9=\frac{6.5}2h[/tex]
[tex]3.9=3.25h[/tex]
[tex]\boxed{h=1.2\ cm}[/tex]