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Find Th Co-ordinates of the Midpoint of the Line Segment Joining P(0, 6) and Q(12, 20). - Geometry

Find th co-ordinates of the midpoint of the line segment joining P(0, 6) and Q(12, 20).

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Solution

P(0, 6)          Q(12, 20)

   ↓                      ↓
(x1, y1)           (x2, y2)
Let co-ordinates of midpoint be (x, y)
By formula for midpoint.,
`x =( x_1+ x_2)/2`
= `(0+12)/2`
= `12/2   = 6`

 

y = `(y_1+y_2)/2`
y = `(6+20)/2`
= `26/2`
= 13
∴ PQ co-ordinates of midpoint of segment PQ are(6, 13)

Concept: The Mid-point of a Line Segment (Mid-point Formula)
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