Find the coordinates of midpoint of the segment joining the points (22, 20) and (0, 16).
Find the coordinates of midpoint of the segment joining the points (22, 20) and (0, 16).
Let the given points be A(22, 20) and B(0, 16).
Let the coordinate of the midpoint be (x, y).
Using the midpoint formula
\[x = \frac{22 + 0}{2}\]
\[\Rightarrow 2x = 22\]
\[\Rightarrow x = 11\]
\[y = \frac{20 + 16}{2}\]
\[\Rightarrow 2y = 36\]
\[\Rightarrow y = 18\]
(x, y) = (11, 18)
Explanation:-
The midpoint formula is used to find the midpoint of a line segment.
Given the points A(22, 20) and B(0, 16), the formula is used to find the midpoint as follows:
Let the coordinates of the midpoint be (x, y).
Using the midpoint formula:
x = (22 + 0)/2 = 11 y = (20 + 16)/2 = 18
Therefore, the midpoint of the line segment AB is (11, 18).
Chapter 5. Co-ordinate Geometry – Practice Set 5.2 (Page 115)