To solve for [tex]\( h \)[/tex] in the equation [tex]\( A = \frac{1}{2} b h \)[/tex], follow these steps:
1. Start with the given equation:
[tex]\[
A = \frac{1}{2} b h
\][/tex]
2. Isolate [tex]\( h \)[/tex]:
To do this, we need to get rid of the fraction [tex]\(\frac{1}{2}\)[/tex]. This can be accomplished by multiplying both sides of the equation by 2.
[tex]\[
2A = b h
\][/tex]
3. Solve for [tex]\( h \)[/tex]:
Now, divide both sides by [tex]\( b \)[/tex] to isolate [tex]\( h \)[/tex].
[tex]\[
h = \frac{2A}{b}
\][/tex]
Thus, the correct expression for [tex]\( h \)[/tex] is:
[tex]\[
h = \frac{2A}{b}
\][/tex]
Therefore, from the given options, the correct choice is:
[tex]\[
\boxed{h = \frac{2A}{b}}
\][/tex]
This corresponds to option 4.
