To solve for [tex]\( h \)[/tex] in the given equation [tex]\( A = \frac{1}{2} h (c + d) \)[/tex], follow these steps:
1. Isolate the term containing [tex]\( h \)[/tex]: The term [tex]\(\frac{1}{2} h (c + d)\)[/tex] is currently multiplied by [tex]\(\frac{1}{2}\)[/tex]. To clear the fraction, multiply both sides of the equation by 2.
[tex]\[
2A = h (c + d)
\][/tex]
2. Solve for [tex]\( h \)[/tex]: To isolate [tex]\( h \)[/tex], divide both sides of the equation by [tex]\((c + d)\)[/tex].
[tex]\[
h = \frac{2A}{c + d}
\][/tex]
By following these steps, we have solved for [tex]\( h \)[/tex]. Thus, the value of [tex]\( h \)[/tex] is:
[tex]\[
h = \frac{2A}{c + d}
\][/tex]
Given the example values [tex]\( A = 1 \)[/tex], [tex]\( c = 1 \)[/tex], and [tex]\( d = 1 \)[/tex]:
Substitute these values into the solved equation:
[tex]\[
h = \frac{2 \times 1}{1 + 1} = \frac{2}{2} = 1.0
\][/tex]
Thus, with the given example values, the result is:
[tex]\[
h = 1.0
\][/tex]
