Question

Find the distance of the point P(1,2) from the midpoint of the line segment joining A(3,5)and B(5,7​

Answer 1

Answer:

Let D(x,y) be the midpoint of the line segment joining A(3,5) and B(5,7).Then,

Coordinates of D(x,y)=(3+5/2,5+7/2)

⇒D(x,y)=(8/2,12/2)

⇒D(x,y)=(4,6)⇒The coordinates of D are (4,6).

Now,

Distance between P(1,2) and D(4,6),

i.e.PD=√(1-4)²+(2-6)²(Using Distance Formula)

⇒PD=√(9+16)

⇒PD=√25

⇒PD=5cm.