Question

Find the distance of the point P(2, -4) from the line segment joining A(-1, -1) and B(7,3), Also find the foot of the perpendicular from P to AB.​

Answer 1

Answer:

perpendicular bisector of a line segment, passed through its midpoint.

If C is the point on AB, through which its perpendicular bisector passes, then C = mid point of AB.

Mid

point of two points (x

1

,y

1

) and (x

2

,y

2

) is calculated by the formula (

2

x

1

+x

2

,

2

y

1

+y

2

)

Using this formula,

mid point of AB =(

2

−2+2

,

2

−5+5

)=(0,0)