Construction 1.5 Construction of the tangent line through a point P  (outside the circle) and a circle C.
a. Construct a line through the point P and the center C.
b. Find the midpoint between P and C. Let us call the midpoint M.
c. Construct a circle whose center is M and radius is $m(\overline{PM})$.
d. Find the points of intersection between this circle and the given circle $C$. Let us call these two points $Q$ and $R$.
e. Construct the line $\overline{PQ}$ and $\overline{PR}$.
These two lines are the tangent lines we are looking for.

Let check our answer by using the tangent tool.

B = (5.44, -1)
P = (0.98, -0.16)
C = (4.44, -0.9)
C_1 = (4.38, -1.86)
c = Circle(C, C_1)