Q ; 6 Without using the Pythagoras theorem, show that the points and are the vertices of a right angled triangle.
It is given that point A(4,4) , B(3,5) and C(-1,-1) are the vertices of a right-angled triangle
Now,
We know that the distance between two points is given by
Length of AB
Length of BC
Length of AC
Now, we know that Pythagoras theorem is
Is clear that
Hence proved