Prove that the points and are the vertices of a right isosceles triangle.
STEP 1 : Assumption
Let and be the given points.
STEP 2 : Finding the distance between the three points
By distance formula distance between two points and is
Therefore distance between and can be found using the above formula
Since,
Hence, is an isosceles triangle.
STEP 3 : Finding the relation between and
Hence, is a right angles triangle.
Since, and
Therefore, is a right isosceles triangle.