Show that the triangle formed by the points(4,4),(3,5) and (-1,-1) is a right angled traingle.
Let the given points be A,B,C are the vertices of the given triangle.
Now finding the distance between the vertices or the length of the sides,
The realation among the three sides is like
This is the essential condition of a right angled triangle.
Hence the given points form the vertices of a right angled traingle.