JEE Main 2018Properties of TriangleProperties of TriangleEasyQuestionIn a triangle with sides a,b,c,a, b, c,a,b,c, r1>r2>r3{r_1} > {r_2} > {r_3}r1>r2>r3 (which are the ex-radii) then :OptionsAa>b>ca>b>ca>b>cBa<b<ca < b < ca<b<cCa>ba > ba>b and b<cb < cb<cDa<ba < ba<b and b>cb > cb>cCheck AnswerHide SolutionSolutionr1>r2>r3{r_1} > {r_2} > {r_3}r1>r2>r3 ⇒Δs−a>Δs−b>Δs−c; \Rightarrow {\Delta \over {s - a}} > {\Delta \over {s - b}} > {\Delta \over {s - c}};⇒s−aΔ>s−bΔ>s−cΔ; ⇒s−a<s−b<s−c \Rightarrow s - a < s - b < s - c⇒s−a<s−b<s−c ⇒−a<−b<−c \Rightarrow - a < - b < - c⇒−a<−b<−c ⇒a>b>c \Rightarrow a > b > c⇒a>b>c