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If in `triangle ABC`, with usual notations , `a=18,b=24,c=30`, then `sin.(A)/(2)` is equal toA. `(1)/(sqrt(5))`B. `(1)/(sqrt(10))`C. `(1)/(sqrt(15))`D. `(1)/(2sqrt(5))` |
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Answer» Correct Answer - B In `DeltaABC`, `a=18, b=24, c=30` `s=(a+b+c)/(2)` `=(18+24+30)/(2)=36` `sin.(A)/(2) =sqrt(((s-b)(s-c))/(bc))` `=sqrt(((36-24)(36-30))/(24xx30))` `=sqrt((12xx6)/(24xx30)` `=(1)/(sqrt(10))` Hence, correct answer from the given alternatives is (b). |
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