Answer:
[tex]h=\frac{2A}{b}[/tex]
Step-by-step explanation:
In this problem, we will rearrange the equation to isolate [tex]h[/tex].
Step 1:
We start with the given equation:
[tex]A=\frac{1}{2} bh[/tex]
I will work the [tex]\frac{1}{2}[/tex] and the [tex]b[/tex] out of the right side so that [tex]h[/tex] is left by itself.
First I multiply both sides by 2 to get rid of the [tex]\frac{1}{2}[/tex] :
[tex](2)A = (2)\frac{1}{2} bh[/tex]
2 is the same as [tex]\frac{2}{1}[/tex], so its numerator and denominator cancel the [tex]\frac{1}{2}[/tex] .
Simplifying, we now have:
[tex]2A=bh[/tex]
Step 2:
Now we can divide both sides by [tex]b[/tex]:
[tex]\frac{2A}{b} =\frac{bh}{b}[/tex]
We can cancel the [tex]b[/tex] in the fraction on the right side, and we're left with:
[tex]\frac{2A}{b} =h[/tex]
which is the same as:
[tex]h=\frac{2A}{b}[/tex]
Hope this helps! Let me know if you have any questions.
