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tkalz15 tkalz15
  • 08-06-2014
  • Mathematics
Answered

Classify the triangle defined by the points A(3,-4), B(5,-1), C(6,-2) as equilateral, isosceles, or scalene.

Verified Answer :

konrad509
konrad509 konrad509
  • 08-06-2014

\(\overline{AB}=\sqrt{(5-3)^2+(-1-(-4))^2}=\sqrt{4+9}=\sqrt{13}\\ \overline{AC}=\sqrt{(6-3)^2+(-2-(-4))^2}=\sqrt{9+4}=\sqrt{13}\\ \overline{BC}=\sqrt{(6-5)^2+(-2-(-1))^2}=\sqrt{1+1}=\sqrt{2}\\\)

The triangle has exactly two sides of the same length, so it's isosceles triangle.

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