Sure, let's find out how Simone can rearrange the formula to isolate [tex]\( h \)[/tex].
The area [tex]\( A \)[/tex] of a triangle is given by the formula:
[tex]\[ A = \frac{1}{2} b h \][/tex]
Simone knows the values for [tex]\( A \)[/tex] (the area) and [tex]\( b \)[/tex] (the base), and she wants to find [tex]\( h \)[/tex] (the height). Let's rearrange the formula step-by-step to solve for [tex]\( h \)[/tex]:
1. Multiply both sides by 2 to eliminate the fraction:
[tex]\[ 2A = b h \][/tex]
2. Divide both sides by [tex]\( b \)[/tex] to isolate [tex]\( h \)[/tex]:
[tex]\[ h = \frac{2A}{b} \][/tex]
Therefore, the steps Simone needs to follow to isolate [tex]\( h \)[/tex] are to multiply both sides by 2 and then divide by [tex]\( b \)[/tex]. Hence, the correct choice is:
- multiply both sides by 2, divide by [tex]\( b \)[/tex]
