Lolersbruh Lolersbruh
  • 21-01-2021
  • Mathematics
contestada

Given ABC with A(0, 0), B(2, 3),
and C(4,0), prove ABC is isosceles

Respuesta :

evgeniylevi
evgeniylevi evgeniylevi
  • 22-01-2021

Step-by-step explanation:

1. if to calculate the length of AB; AC and BC, then:

[tex]|AB|=\sqrt{(2-0)^2+(3-0)^2} =\sqrt{13}.[/tex]

[tex]|AC|=\sqrt{(4-0)^2+(0-0)^2} =4.[/tex]

[tex]|BC|=\sqrt{(2-4)^2+(0-3)^2}= \sqrt{13}.[/tex]

2. if to compare the calculated lengths, then:

AB=BC. It means the given triangle is isosceles.

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