Respuesta :

AL2006

-- The distance between two points is

                 √[ (difference in their 'x's)² + (difference in their 'y's)² ]

-- The slope of the line that passes through two points is

                  (difference in their 'y's)  /  (difference in their 'x's) .

Now . . .
-- Take the two points 'A' and 'B'.
   Find the distance between them.
   Find the slope of the line passing through them.

-- Take the two points 'B' and 'C'.
   Find the distance between them.
   Find the slope of the line passing through them.

-- Take the two points 'A' and 'C'.
   Find the distance between them.
   Find the slope of the line passing through them.

Then . . .
-- Look for two of the distances that are equal.
   That tells you that the triangle is 'isosceles'.

-- Look for two of the lines whose slopes are negative reciprocals.
   That tells you that those two lines are perpendicular, so it's a right triangle.


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