To solve the equation [tex]\( A = \left(\frac{1}{2}\right) b h \)[/tex] for [tex]\( h \)[/tex], follow these detailed steps:
1. Starting Equation:
[tex]\[
A = \left(\frac{1}{2}\right) b h
\][/tex]
2. Clear the Fraction:
To eliminate the fraction, multiply both sides of the equation by 2:
[tex]\[
2A = b h
\][/tex]
3. Isolate [tex]\( h \)[/tex]:
To solve for [tex]\( h \)[/tex], divide both sides of the equation by [tex]\( b \)[/tex]:
[tex]\[
h = \frac{2A}{b}
\][/tex]
Hence, the solved equation for [tex]\( h \)[/tex] is:
[tex]\[
h = \frac{2A}{b}
\][/tex]
Among the provided options, the correct option is:
[tex]\[
h = \frac{2A}{b}
\][/tex]
