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Find the coordinates of midpoint of segment joining (22, 20) and (0, 16) - Geometry Mathematics 2

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Question

Find the coordinates of midpoint of segment joining (22, 20) and (0, 16)

Sum

Solution

Let A(x1, y1) = A(22, 20), B(x2, y2) = B(0, 16)

Let the co-ordinates of the midpoint be P(x, y).

∴ By midpoint formula,

x = `(x_1 + x_2)/2`

= `(22 + 0)/2`

= 11

y = `(y_1 + y_2)/2`

= `(20 + 16)/2`

= `36/2`

= 18

∴ The co-ordinates of the midpoint of the segment joining (22, 20) and (0, 16) are (11, 18).

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The Mid-point of a Line Segment (Mid-point Formula)
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Chapter 5: Co-ordinate Geometry - Q.2 (B)

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