Seudónimo Seudónimo
  • 24-08-2022
  • Mathematics
contestada

can someone help me with this

can someone help me with this class=

Respuesta :

evgeniylevi
evgeniylevi evgeniylevi
  • 24-08-2022

Step-by-step explanation:

if the vertex A is (-2;5), vertex B is (1;3) and the vertex C is (-1;0), then

1) the lengths are (note, the side AC should be hypotenuse):

[tex]|AB|=\sqrt{(1+2)^2+(3-5)^2}=\sqrt{13};[/tex]

[tex]|BC|=\sqrt(1+1)^2+(3-0)^2}=\sqrt{13};[/tex]

[tex]|AC|=\sqrt{(-1+2)^2+(0-5)^2}=\sqrt{26}.[/tex]

2) if to check the equation AB²+BC²=AC², then

13+13=26 - it is true.

It means, the triangle ΔABC is right triangle.

P.S. all the details are in the attachment.

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