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Posted by on Thursday, January 24, 2008 at 6:44pm.

is triangle XYZ with vertices X(-3,1), Y(2.4), Z(2.-5) a scalene triangle?

  • Geometry - , Thursday, January 24, 2008 at 7:36pm

    what are the lengths of the sides?
    If they are all different, it is scalene.
    You can just do the squares of the lengths, no need to take the square roots.
    in general:

    length^2 = (X2-X1)^2 + (Y2-Y1)^2

  • Geometry - , Thursday, January 24, 2008 at 7:59pm

    for example the length from X to Y:
    XY^2 = (2 - -3)^2 + (4 - 1)^2

    = 5^2 + 3^2

    = 25 + 9

    = 34 is the square of length XY

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