Answer :
Answer:
Midpoint of AB=(6,10) ,Midpoint of BC=(6,9) and Midpoint of CA=(-3,12)
Step-by-step explanation:
Given that the points are A(-3,13), B(15,7) and C(-3,11)
To find the mid points :
To find midpoint of AB
Let [tex](x_1,y_1) and (x_2,y_2)[/tex] be the points A(-3,13),B(15,7) respectively
Midpoint of AB[tex]=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]
[tex]=(\frac{-3+15}{2},\frac{13+7}{2})[/tex]
[tex]=(\frac{12}{2},\frac{20}{2})[/tex]
[tex]=(6,10)[/tex]
Midpoint of AB=(6,10)
To find midpoint of BC
Let [tex](x_1,y_1) and (x_2,y_2)[/tex] be the points B(15,7),C(-3,11) respectively
Midpoint of BC[tex]=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]
[tex]=(\frac{15-3}{2},\frac{7+11}{2})[/tex]
[tex]=(\frac{12}{2},\frac{18}{2})[/tex]
[tex]=(6,9)[/tex]
Midpoint of BC=(6,9)
To find midpoint of CA
Let [tex](x_1,y_1) and (x_2,y_2)[/tex] be the points C(-3,11),A(-3,13),respectively
Midpoint of CA[tex]=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]
[tex]=(\frac{-3-3}{2},\frac{11+13}{2})[/tex]
[tex]=(\frac{-6}{2},\frac{24}{2})[/tex]
[tex]=(-3,12)[/tex]
Midpoint of CA=(-3,12)
Therefore Midpoint of AB=(6,10) ,Midpoint of BC=(6,9) and Midpoint of CA=(-3,12)