Question

heron’s formula: $s = \frac{1}{2}(a + b + c)$; solve for $b$.

Explanation:

Step1: Multiply both sides by 2

To eliminate the fraction, we multiply both sides of the equation \( S=\frac{1}{2}(a + b + c) \) by 2. This gives us \( 2S=a + b + c \).

Step2: Subtract \( a \) and \( c \) from both sides

To isolate \( b \), we subtract \( a \) and \( c \) from both sides of the equation \( 2S=a + b + c \). So we get \( b = 2S - a - c \).

Answer:

\( b = 2S - a - c \)