Answer with explanation:
→It is given that in ΔABC,the angle bisector of each angle of triangle ABC meet at point D.
→To draw the in circle draw perpendicular from point D on any of three sides of triangle,and then suppose it cuts the triangle at X,Y and Z . Taking any of D X,DY and DZ as a radius we can draw the in circle of given triangle.
→In-center of a triangle is that point inside a triangle where internal bisector of triangle meet.
Also, it is given that, DE⊥AC.
→Line from center of a circle to the point of contact of a line called tangent,are perpendicular to each other.
So,→ Radius of largest circle that can fit inside ΔABC= DE
