2. Is there a faster way to find out the equation of the circle inscribed in the triangle?
Example: Find the equation of the circle that is inscribed in the triangle whose sides
lie on the lines: .
The distance from a point to a line
. . is given by: .
We want a point which is equidistant from:
Substitute  into : .
The center of the circle is: .
The radius is: .
The equation of the circle is: .