Solving the equations in pairs, you find the vertices to be
(2,5),(5,-1),(-3,-5)
Now you can figure the incenter and inradius of the triangle.
The equation of the circle is then easy.
Find the equation of the circle incribed in a triangle, if the angle has its sides on the lines:
2x + y - 9 = 0, -2x + y - 1 = 0, and -x + 2y +7 = 0. Draw the figure.
1 answer