Question

find the equation of the perpendicular bisector of the side BC of the triangle with vertices A(0,6) , B(-2,2) and C(4,2).

Answer 1

Answer:

x = 1

Step-by-step explanation:

Perpendicular bisector to a given side BC means, it is a line which is perpendicular to line BC and also passes through the midpoint of BC(.e., it bisects the side BC).

Now, Given B(-2,2) and C(4,2),

so Midpoint of BC is (1,2)

and Equation of line BC is y =2 , so any line perpendicular to BC will be in the form x = constant. But it passes through midpoint (1,2), thus

x=1 is the required line.