Question

simone used this formula to find the height of a triangle. ( a = \frac{1}{2}bh ) she knew the area, ( a ), and ( b ), base of the triangle. how can she rearrange the formula to isolate ( h ) to find the height, ( h )? divide both sides by 2, multiply by h; divide both sides by 2, divide by h; multiply both sides by 2, divide by b; multiply both sides by 2, multiply by b

Explanation:

Step1: Start with the formula

We have the formula for the area of a triangle: $a = \frac{1}{2}bh$.

Step2: Eliminate the fraction

To get rid of the $\frac{1}{2}$, we multiply both sides of the equation by 2. This gives us $2a = bh$.

Step3: Isolate \( h \)

Now, to solve for \( h \), we divide both sides of the equation \( 2a = bh \) by \( b \). This results in \( h=\frac{2a}{b} \). So the operations are multiply both sides by 2, then divide by \( b \).

Answer:

multiply both sides by 2, divide by \( b \) (corresponding to the third option in the multiple - choice list)