sharonsacco10 sharonsacco10
  • 23-04-2021
  • Mathematics
contestada

10.
A, B and C are the points (3, 4, (7,3) and (-2, 1) respectively. Obtain the
equation of the median through B of triangle ABC.

Respuesta :

evgeniylevi
evgeniylevi evgeniylevi
  • 23-04-2021

Answer:

[tex]y=\frac{1}{13} x+\frac{32}{13}.[/tex]

Step-by-step explanation:

1. the midpoint of the side AC is:

[tex]D:(\frac{3-2}{2};\frac{4+1}{2})=(0.5;2.5).[/tex]

2. if the coordinates of the points B and D are (7;3) and (0.5;2.5) respectively, then it is possible to make up the required equation of the median BD:

[tex]\frac{x-7}{7-0.5}=\frac{y-3}{3-2.5}; \ \frac{x-7}{13}=\frac{y-3}{1}[/tex]

or

[tex]y=\frac{1}{13} x+\frac{32}{13}[/tex]

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