Triangle – Circle problem
Given triangle ABC. . CD is height of triangle ( point D is on hypotenuse AB ). The radiuses of incircles of triangles ACD and ABD are . Find the radius of incircle of triangle ABC .
Solution :
Let be center of incircle of triangle ACD with radius and be center of incircle of triangle BCD with radius . Let the center of incircle of triangle ABC with radius R. ( we have to find R ) And let AC=b, CB=a, AB=c .
The center of incircle is the intersection point of bisectors of triangle.
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