Question

Find the coordinates of the midpoint of the segment whose endpoints are H(3,8) and K(7,4)

Answer 1

The midpoints are ( 5, 6 ).

Explanation:

Given that the endpoints are H ( 3, 8) and K (7, 4)-

As we know that-

If a line segment AB is with endpoints (
`x_(1), y_(1)`) and (
`x_(2), y_(2)` ) then the mid points C are-

C = (
`\frac{x_(1) + x_(2)} {2}` ,
`( y_(1) + y_(2)  )/(2)` )

Here,

H ( 3, 8 ) and K ( 7, 4 )

then the midpoints C are-

C = (
`(3 + 7 )/(2)` ,
`( 8 + 4 )/(2)`

C= ( 10/2 , 12/2 )

C = ( 5, 6 )

Hence the midpoints are (5, 6).