Find the coordinates of midpoint of the segment joining the points (22,12) and (8,6) ?
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Answer:
(15,9)
Step-by-step explanation:
let p(X1,y1) and q(X2,y2) be the two given points and r(X,y) be the midpoint of the line pq ,then
PR= RQ, therefore,
The segment is divided is divided in the ratio 1:1
therefore,
=> X= (1*X1 + 1*X2) / 1+1
=> X = ( X1+ X2 )/2
and,
=> Y= (1*y1 + 1*y2) 1+1
=> Y = ( y1+ y2 )/2
so, the coordinates of the midpoint of pq= {( X1 + X2)/2,(y1+y2)/2}
= {(22+8)/2 ,(12+6)/2}
= {(30/2),(18/2)}
= (15,9)
Therefore,the coordinates of the midpoint of the segment joining the points (22,12) and (8,6) are (15,9)
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