Draw a circle with centre .
is a right angled triangle inscribed in the circle. The right angle of
is at vertex
. The length of the hypotenuse of
is
, the length of the other sides are in the ratio
. Draw a tangent line which makes a point of contact with the circle at the vertex
of the right angle triangle. The point
is the intersection of the tangent and a line that bisects the
. Calculate the distance
of the point
from the centre of the circle
.