Question

The point c has coordinates (5,4)
The point d has coordinates (6,1)
The point e has coordinates (9,13)
The midpoint of ce is h
The midpoint of de is i
Work out distance between point h and i

Answer 1

Step-by-step explanation:

The point C has coordinates (5,4)

The point D has coordinates (6,1)The point E has coordinates (9,13)

The midpoint of CE is H

= ((5+6)/2, (4+1)/2) = (11/2, 5/2)

The midpoint of DE is I= ((6+9) /2, (1+13/2))

=( 15/2 , 14/2)

Work out distance between point H and I

$= \sqrt{ (\frac{11}{2} - \frac{15}{2} ) ^{2} } + ( \frac{5}{2} - \frac{14}{2} ) ^{2}$

$= \sqrt({ \frac{- 4}{2}) ^{2} } + ( \frac{ - 9}{2} )^{2}$

$= \sqrt{ \frac{16}{4} + \frac{81}{4} }$

$= \sqrt{ \frac{97}{4} }$

$= \frac{ \sqrt{97} }{2} units$