Let's solve the equation [tex]\( A = \left( \frac{1}{2} \right) b h \)[/tex] for [tex]\( h \)[/tex] step-by-step.
1. Given Equation:
[tex]\[
A = \left( \frac{1}{2} \right) b h
\][/tex]
2. Step 1: Multiply both sides by 2 to eliminate the fraction:
[tex]\[
2A = 2 \left( \frac{1}{2} \right) b h
\][/tex]
Simplifying the right side:
[tex]\[
2A = b h
\][/tex]
3. Step 2: Divide both sides by [tex]\( b \)[/tex] to isolate [tex]\( h \)[/tex]:
[tex]\[
h = \frac{2A}{b}
\][/tex]
Therefore, the solution to the equation [tex]\( A = \left( \frac{1}{2} \right) b h \)[/tex] for [tex]\( h \)[/tex] is:
[tex]\[
h = \frac{2A}{b}
\][/tex]
This method isolates [tex]\( h \)[/tex] by systematically eliminating other variables and coefficients from the equation.
