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1 vote
Find the coordinates of the midpoint of the segment whose endpoints are H(9, 10) and

K(7, 6).
Find HK

2 Answers

6 votes

mid point formula:
\text{coordinates of midpoint= }\left((x_1+x_2)/(2),(y_1+y_2)/(2)\right) \\ \text{distance between two points= } √((x_2-x_1)^2+(y_2-y_1)^2))

User Shahzad Imam
by
8.4k points
5 votes

Answer: The coordinate of the midpoint is m ( 8 , 8) and the distance HK is 4.5

Explanation:

To find the coordinates of the point of the segment whose endpoints are H(9,10) and K(7,6), we simply use this formula;

m(
x_(m) ,
y_(m)) = m(
(x_(1) + x_(2) )/(2) ,
(y_(1) + y_(2) )/(2) )


x_(1) = 9
y_(1) = 10
x_(2) = 7
y_(2) = 6

m(
x_(m) ,
y_(m)) = m (
(9 + 7)/(2) ,
(10 + 6)/(2) )

= m (
(16)/(2) ,
(16)/(2) )

=m ( 8 , 8)

The coordinate of the midpoint is m ( 8 , 8)

To find the distance HK,

let D = distance HK

D = √
(x_(2) - x_(1) )^(2) +
(y_(2) - y_(1)) ^(2)

= √(7 - 9)² + (6 - 10)²

= √(-2)² + (-4)²

= √4 + 16

=√20

= 4.5

The distance HK is 4.5

User Pegah
by
7.7k points
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