The values are given by the circle C, and
.
Here MPO is right angled triangle.
\Hence .
Use pythagorean theorem to find x.
\ (Apply Pythagorean theorem)
(Substitute
,
and
)
(Evaluate powers)
(Subtract 256 from each side)
(Subtract:
)
(Apply squart root of each side)
(Because x is length)
Since ,
and
.
(Apply Converse of pythagorean theorem)
(Substitute
,
and
)
(Evaluate powers)
(Add:
)
Because ,
is a right angled triangle.
So,PR is tangent to circle C.