A small and interesting problem.

Level pending

In a triangle ABC which holds : r1 =r2 + r3 +r

where r1 , r2 , r3 are the exradii of the triangle and 'r' is the inradius. The triangle is a :

1.) Isoceles triangle

2.) Scalene triangle

3.) Rightangled triangle

4.) Equilateral triangle


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