triangle

Asked by  | 15th Jan, 2009, 12:24: PM

Expert Answer:

Name the points as say A,B and C.

 Find distances AB,BC,CA using the distance formula.

 Then, check the following.

AB+BC>AC

BC+CA>AB

CA+AB>BC

This property that the sum of any two sides of a triangle is always greater than the third side  must be satisfied for any 3 line segments to be the sides of a triangle.

 If the property is not satisfied, then the re can't be a triangle with these points as vertices.

Depending on the lengths of the sides you can conclude whether the given triangle is equilateral, isoceles or scelene using definitions of these terms.

Answered by  | 15th Jan, 2009, 03:10: PM

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