Question

find the inradius of the triangle ABC where coordinates of A are (1,-1) and internal bisectors of angle ACB is x+3y=0 and angle bisector of angle ABC is x-y+4=0.
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Answer 1

Answer:

In △ABC the coordinates of the vertex A are (4,−1) and lines x−y−1=0 and 2x−y=3 are internal bisector of angles B and C. Then, radius of incircle of triangle △ABC is