SOLUTION: If you were given three points on a coordinate plane and asked to determine if they were connected they formed: How can you determine if the lines of the tirangle are connected on

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Question 144696: If you were given three points on a coordinate plane and asked to determine if they were connected they formed:
How can you determine if the lines of the tirangle are connected on a scalence triangle?
a scalene triangle
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
First thing to ask yourself is what is it about a triangle that would make it a scalene triangle. There are three sorts of triangles: Equilateral, isoceles, and scalene. Equilateral has 3 equal sides, isoceles has 2 equal sides, so the only thing left is a triangle with three unequal sides.


All you need to do is compute the lengths of the three lines that connect the given points. Do this with the distance formula:


d=sqrt%28%28x%5B1%5D-x%5B2%5D%29%5E2%2B%28y%5B1%5D-y%5B2%5D%29%5E2%29

Perform this computation for each of the three pairs of points you can form from three given points.

If the sum of the two smaller lengths is equal to the longer length, then the three points are collinear and you have no triangle at all.

Assuming the points actually form a triangle, then if all three lengths are different, the triangle is scalene.