In `triangle ABC`, if `a=13,b=14` and `c=15` , then `sin.(A)/(2)=` ... – InterviewSolution

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1.	In `triangle ABC`, if `a=13,b=14` and `c=15` , then `sin.(A)/(2)=` ...................A. `(1)/(5)`B. `sqrt((1)/(5))`C. `(4)/(5)`D. `(2)/(5)`
Answer» Given `a=13,b=14,c=15` `s=(a+b+c)/(2)` `=(13+14+15)/(2)=(42)/(2)` `=21` `"sin"(A)/(2)=sqrt(((s-a)(s-c))/(bc))` `sqrt(((21-14)(21-15))/(14xx15))` `sqrt((7xx6)/(14xx15))` `=sqrt((1)/(5))` Hence, correct answer from the given alternatives is (b)

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