Answer :

mhanifa

Answer:

  • BAD is scalene triangle

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Given

  • Triangle BAD with vertices B(-2, -5), A(-4, 0), D(3, -1)

Find each side length using distance formula:

  • [tex]AB=\sqrt{(-2+4)^2+(-5+0)^2}=\sqrt{4+25}=\sqrt{29}[/tex]
  • [tex]AD=\sqrt{(3+4)^2+(-1+0)^2}=\sqrt{49+1}=\sqrt{50}[/tex]
  • [tex]BD=\sqrt{(3+2)^2+(-1+5)^2}=\sqrt{25+16}=\sqrt{41}[/tex]

As we see, all sides have different length, therefore it is scalene triangle.

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