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Simone used this formula to find the height of a triangle:
[tex]\[ A = \frac{1}{2} b h \][/tex]

She knew the area, [tex]\( A \)[/tex], and [tex]\( b \)[/tex], the base of the triangle. How can she rearrange the formula to isolate [tex]\( h \)[/tex] and find the height [tex]\( h \)[/tex]?

A. Multiply both sides by 2, then divide by [tex]\( b \)[/tex].
B. Multiply both sides by 2, then multiply by [tex]\( b \)[/tex].
C. Divide both sides by 2, then divide by [tex]\( h \)[/tex].
D. Divide both sides by 2, then multiply by [tex]\( h \)[/tex].

Sagot :

GinnyAnswer
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]
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