Question

a(1,2) b(3,6) c(-2,1) are the vertices of the triangle abc find the equation of the perpendicular bisector of line segment bc​

Answer 1

Step-by-step explanation:

Let A(3,4),B(−1,2) be given points CD be required perpendicular bisector.

C is the mid point of AB

Coordinate of C=(23−1,24+2)=(1,3)

Slope of AB=x2−x1y2−y1

=−1−32−4

=−4−2=21

CD⊥AB

Slope of CD=−2

The equation of CD is

y−y1=m(x−x1)

⇒y−3=−2(x−1)

⇒y−3=−2x+2

⇒2x+y−3−2=0

⇒2x+y−5=0