Question

Find the coordinates of midpoint of the segment joining the points (22,12) and (8,6) ?

Answer 1

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)