Question

the perimeter of a triangle is given by the formula ( p = a + b + c ). solved for ( b ), this formula becomes ( b = )
a ( p + a + c )
b ( p - a - c )
c ( p + a - c )
d ( p - a + c )

Explanation:

Step1: Isolate \( b \)

Given \( P=a + b + c \), subtract \( a \) and \( c \) from both sides.
\( P-(a + c)=a + b + c-(a + c) \)

Step2: Simplify the equation

Using the property \( a-(m + n)=a - m - n \) and \( a + b + c-(a + c)=b \).
So \( P - a - c=b \)

Answer:

B. \( P - a - c \)