Given:
[tex]A=\frac{1}{2}h(b_1+b_2)[/tex]
To determine h, we first multiply both sides by 2:
[tex]\begin{gathered} A(2)=\frac{1}{2}h(b_1+b_2)(2) \\ Simplify \\ 2A=h(b_1+b_2) \end{gathered}[/tex]
Next, we divide both sides by (b1+b2):
[tex]\begin{gathered} \frac{2A}{(b_1+b_2)}=\frac{h(b_1+b_2)}{(b_1+b_2)} \\ Simplify\text{ and rearrange} \\ \frac{2A}{(b_1+b_2)}=h \\ h=\frac{2A}{b_1+b_2} \end{gathered}[/tex]
Therefore, the answer is:
[tex]h=\frac{2A}{b_{1}+b_{2}}[/tex]
