JEE Main2005MathematicsProperties of TrianglesActual
In a triangle ABC , let C = 2 . If r is the inradius and R is the circumradius of the the triangle A B C , then 2(r+R) equals
Options
- Ab+c
- Ba+b
- Ca+b+c
- Dc + a
Correct answer
B. a+b
Step-by-step solution
2 r+2 R=c+ 2 a b (a+b+c) = (a+b)^2+c(a+b) (a+b+c) =a+b ( since c^2=a^2+b^2 )